Article records
https://feeds.library.caltech.edu/people/Schwarz-J-H/article.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenTue, 16 Apr 2024 14:15:11 +0000Gravitation in the light cone gauge
https://resolver.caltech.edu/CaltechAUTHORS:20201023-182805233
Authors: {'items': [{'id': 'Scherk-J', 'name': {'family': 'Scherk', 'given': 'J.'}}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 1975
DOI: 10.1007/bf00761962
The formulation of gravitation theory in the light cone gauge is studied. After a brief discussion of Yang- Mills theory for purposes of illustration, tensor and scalartensor gravitation are investigated. We show that if the gauge conditions are properly chosen the constrained components of the metric tensor can be explicitly solved for by quadrature, so that the field theory can be reformulated entirely in terms of the physical transverse fields. It is also shown that the light cone gauge is useful for finding wave solutions of classical field equations. Occasional reference is made to dual models, primarily to explain our motivation, but familiarity with them is not required for an understanding of this paper.https://authors.library.caltech.edu/records/6v6dp-rkb46Supergravity as geometry of superspace
https://resolver.caltech.edu/CaltechAUTHORS:20150923-155201992
Authors: {'items': [{'id': 'Brink-Lars', 'name': {'family': 'Brink', 'given': 'Lars'}}, {'id': 'Gell-Mann-M', 'name': {'family': 'Gell-Mann', 'given': 'Murray'}}, {'id': 'Ramond-Pierre', 'name': {'family': 'Ramond', 'given': 'Pierre'}}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 1978
DOI: 10.1016/0370-2693(78)90671-8
The equations of motion for N = 1 supergravity are expressed in terms of geometrical quantities in superspace. Vector-spinor matter is included and also a nonzero dimensionless self-coupling leading to a finite de Sitter radius.https://authors.library.caltech.edu/records/7v3pv-jkb74Extended supergravity as geometry of superspace
https://resolver.caltech.edu/CaltechAUTHORS:20150923-155201237
Authors: {'items': [{'id': 'Brink-Lars', 'name': {'family': 'Brink', 'given': 'Lars'}}, {'id': 'Gell-Mann-M', 'name': {'family': 'Gell-Mann', 'given': 'Murray'}}, {'id': 'Ramond-Pierre', 'name': {'family': 'Ramond', 'given': 'P.'}}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 1978
DOI: 10.1016/0370-2693(78)90896-1
The equations of motion for N=3 extended supergravity are expressed in terms of geometrical quantities in superspace, using a simplification of a method previously proposed for N=1. The dimensionless self coupling e that leads to a finite de Sitter radius is included.https://authors.library.caltech.edu/records/k50e8-2f586"Prepotentials" in a superspace formulation of supergravity
https://resolver.caltech.edu/CaltechAUTHORS:20150923-074725836
Authors: {'items': [{'id': 'Brink-Lars', 'name': {'family': 'Brink', 'given': 'Lars'}}, {'id': 'Gell-Mann-M', 'name': {'family': 'Gell-Mann', 'given': 'Murray'}}, {'id': 'Ramond-Pierre', 'name': {'family': 'Ramond', 'given': 'Pierre'}}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 1978
DOI: 10.1016/0550-3213(78)90415-7
Certain of the superspace equations in our previous work are utilized to express the superconnection and vielbein in terms of a much smaller set of fields, the "prepotentials", which include chiral coordinates of curved superspace.https://authors.library.caltech.edu/records/raw1x-7gc74The Search for a Realistic Superstring Vacuum
https://resolver.caltech.edu/CaltechAUTHORS:20141209-160222044
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'J. H.'}, 'orcid': '0000-0001-9861-7559'}, {'id': 'Ellis-J-R', 'name': {'family': 'Ellis', 'given': 'J. R.'}}]}
Year: 1989
Recent progress in understanding heterotic string compactification utilizes abstract
algebraic methods. In particular, Gepner has given a prescription for constructing
exactly soluble Calabi-Yau compactifications by using N = 2 minimal models. A
large class of new N = 2 models, discovered by Kazama & Suzuki, can also be used.
Recent progress in understanding N = 2 models and Calabi-Yau spaces by using
mathematical techniques of singularity theory improves the prospects of a complete
classification. A key question is whether a classical solution can give a reasonable first
approximation to the exact quantum ground state even though string theory is
strongly coupled and the perturbation expansion diverges.https://authors.library.caltech.edu/records/97y86-ee233Recent developments in superstring theory
https://resolver.caltech.edu/CaltechAUTHORS:20141125-100502493
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 1998
DOI: 10.1073/pnas.95.6.2750
PMCID: PMC19640
There have been many remarkable developments in our understanding of superstring theory in the past few years, a period that has been described as "the second superstring revolution." In particular, what once appeared to be five distinct theories are now recognized to be different manifestations of a single (unique) underlying theory. Some of the evidence for this, based on dualities and the appearance of an eleventh dimension, is presented. Also, a specific proposal for the underlying theory, called "Matrix Theory," is described. The presentation is intended primarily for the benefit of nonexperts.https://authors.library.caltech.edu/records/g7t2q-m3j41From superstrings to M theory
https://resolver.caltech.edu/CaltechAUTHORS:20170408-134016536
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 1999
DOI: 10.1016/S0370-1573(99)00016-2
In the strong coupling limit Type IIA superstring theory develops an 11th dimension that is not apparent in perturbation theory. This suggests the existence of a consistent 11D quantum theory, called M theory, which is approximated by 11D supergravity at low energies. In this review we describe some of the evidence for this picture and some of its implications.https://authors.library.caltech.edu/records/027sh-s4244Remarks on non-BPS D-branes
https://resolver.caltech.edu/CaltechAUTHORS:SCHWcqg00
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2000
DOI: 10.1088/0264-9381/17/5/333
Following Sen's discovery of various stable non-BPS D-branes, K-theory has been shown to be the appropriate mathematical framework for classifying conserved D-brane charges. The classification accounts for known D-branes and predicts some new ones including a D8-brane in type I superstring theory. After briefly reviewing these developments, we discuss certain issues pertaining to the D8-brane, which is unstable.https://authors.library.caltech.edu/records/dxvxy-6zf64Anomaly analysis of brane-antibrane systems
https://resolver.caltech.edu/CaltechAUTHORS:SCHWjhep01
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}, {'id': 'Witten-E', 'name': {'family': 'Witten', 'given': 'Edward'}, 'orcid': '0000-0002-7752-6073'}]}
Year: 2001
DOI: 10.1088/1126-6708/2001/03/032
String theories with branes can often be generalized by adding brane-antibrane pairs. We explore the cancellation of anomalies in this more general context, extending the familiar anomaly-cancelling mechanisms, both for ten-dimensional string theories with D-branes and for certain supersymmetric compactifications.https://authors.library.caltech.edu/records/tdftb-29k95The future of string theory
https://resolver.caltech.edu/CaltechAUTHORS:SCHWjmp01
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2001
DOI: 10.1063/1.1377276
Prophesy is just for fun. The more useful purpose of the exercise is to identify important issues and to stimulate thought about where they stand and how they might be resolved. The subject areas that are fair game include all of particle physics and cosmology.https://authors.library.caltech.edu/records/vpsk7-psa84String theory
https://resolver.caltech.edu/CaltechAUTHORS:SCHWcs01
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2001
This article presents the basic concepts of string theory followed by an overview of the peculiar history of how it arose.https://authors.library.caltech.edu/records/ymswc-6nm40Comments on superstring interactions in a plane-wave background
https://resolver.caltech.edu/CaltechAUTHORS:SCHWjhep02
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2002
DOI: 10.1088/1126-6708/2002/09/058
The three string vertex for type-IIB superstrings in a maximally supersymmetric plane-wave background is investigated. Specifically, we derive a factorization theorem for the Neumann coefficients that generalizes a flat-space result that was obtained some 20 years ago. The resulting formula is used to explore the leading large mu asymptotic behavior, which is relevant for comparison with dual gauge theory results.https://authors.library.caltech.edu/records/v0zqd-4yh18Explicit formulas for Neumann coefficients in the plane-wave geometry
https://resolver.caltech.edu/CaltechAUTHORS:HEYprd03
Authors: {'items': [{'id': 'He-Yang-Hui', 'name': {'family': 'He', 'given': 'Yang-Hui'}, 'orcid': '0000-0002-0787-8380'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}, {'id': 'Spradlin-Marcus', 'name': {'family': 'Spradlin', 'given': 'Marcus'}}, {'id': 'Volovich-A', 'name': {'family': 'Volovich', 'given': 'Anastasia'}}]}
Year: 2003
DOI: 10.1103/PhysRevD.67.086005
We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter mu. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large mu and find unexpectedly simple results, which are valid to all orders in 1/mu. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified 't Hooft coupling lambda'. A specific example is presented.https://authors.library.caltech.edu/records/3j72g-kb874Superconformal Chern-Simons theories
https://resolver.caltech.edu/CaltechAUTHORS:SCHWjhep04
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2004
DOI: 10.1088/1126-6708/2004/11/078
We explore the possibilities for constructing lagrangian descriptions of three-dimensional superconformal classical gauge theories that contain a Chern-Simons term, but no kinetic term, for the gauge fields. Classes of such theories with Script N = 1 and Script N = 2 supersymmetry are found. However, interacting theories of this type with Script N = 8 supersymmetry do not exist.https://authors.library.caltech.edu/records/661an-hem93The generalized Stieltjes transform and its inverse
https://resolver.caltech.edu/CaltechAUTHORS:SCHWjmp05
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2005
DOI: 10.1063/1.1825077
The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter rho> 0. In previous work a convenient form of the inverse transformation was derived for the case rho= 3/2. This paper generalizes that result to all rho> 0. It is a well-known fact that the GST can be formulated as an iterated Laplace transform, and that therefore its inverse can be expressed as an iterated inverse Laplace transform. The form of the inverse transform derived here is a one-dimensional integral that is considerably simpler.https://authors.library.caltech.edu/records/21nab-1ey76String Theory: Progress and Problems
https://resolver.caltech.edu/CaltechAUTHORS:20101104-145258224
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2007
DOI: 10.1143/PTPS.170.214
String theory builds on the great legacy of Yukawa and Tomonaga: New degrees of freedom and control of the UV are two important themes. This talk will give an overview of some of the progress and some of the unsolved problems that characterize string theory today. It is divided into two parts: Connecting String Theory to the Real World; Gauge Theory/String Theory Duality.
Two other major subjects, which I will omit, are Black Holes in String Theory and The Impact of String Theory on Mathematics.https://authors.library.caltech.edu/records/75g8p-h2x75Nondecoupling of Maximal Supergravity from the Superstring
https://resolver.caltech.edu/CaltechAUTHORS:GREprl07
Authors: {'items': [{'id': 'Green-Michael-B', 'name': {'family': 'Green', 'given': 'Michael B.'}}, {'id': 'Ooguri-H', 'name': {'family': 'Ooguri', 'given': 'Hirosi'}, 'orcid': '0000-0001-6021-3778'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2007
DOI: 10.1103/PhysRevLett.99.041601
We consider the conditions necessary for obtaining perturbative maximal supergravity in d dimensions as a decoupling limit of type II superstring theory compactified on a (10-d) torus. For dimensions d=2 and d=3, it is possible to define a limit in which the only finite-mass states are the 256 massless states of maximal supergravity. However, in dimensions d>=4, there are infinite towers of additional massless and finite-mass states. These correspond to Kaluza-Klein charges, wound strings, Kaluza-Klein monopoles, or branes wrapping around cycles of the toroidal extra dimensions. We conclude that perturbative supergravity cannot be decoupled from string theory in dimensions >=4. In particular, we conjecture that pure [script N]=8 supergravity in four dimensions is in the Swampland.https://authors.library.caltech.edu/records/b3ffe-r2346N = 8 superconformal Chern-Simons theories
https://resolver.caltech.edu/CaltechAUTHORS:BANjhep08
Authors: {'items': [{'id': 'Bandres-M-A', 'name': {'family': 'Bandres', 'given': 'Miguel A.'}, 'orcid': '0000-0002-7145-8567'}, {'id': 'Lipstein-A-E', 'name': {'family': 'Lipstein', 'given': 'Arthur E.'}, 'orcid': '0000-0002-0213-186X'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2008
DOI: 10.1088/1126-6708/2008/05/025
A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry and contains scalar and spinor fields that transform as 4-vectors. We verify that this theory has OSp(8|4) superconformal symmetry and that it is parity conserving despite the fact that it contains a Chern-Simons term. We describe several unsuccessful attempts to construct theories of this type for other gauge groups and representations. This experience leads us to conjecture the uniqueness of the BL theory. Given its large symmetry, we expect this theory to play a significant role in the future development of string theory and M-theory.https://authors.library.caltech.edu/records/rchj8-fyr59Ghost-free superconformal action for multiple M2-branes
https://resolver.caltech.edu/CaltechAUTHORS:BANjhep08b
Authors: {'items': [{'id': 'Bandres-M-A', 'name': {'family': 'Bandres', 'given': 'Miguel A.'}, 'orcid': '0000-0002-7145-8567'}, {'id': 'Lipstein-A-E', 'name': {'family': 'Lipstein', 'given': 'Arthur E.'}, 'orcid': '0000-0002-0213-186X'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2008
DOI: 10.1088/1126-6708/2008/07/117
The Bagger-Lambert construction of Script N = 8 superconformal field theories (SCFT) in three dimensions is based on 3-algebras. Three groups of researchers recently realized that an arbitrary semisimple Lie algebra can be incorporated by using a suitable Lorentzian signature 3-algebra. The SU(N) case is a candidate for the SCFT describing coincident M2-branes. However, these theories contain ghost degrees of freedom, which is unsatisfactory. We modify them by gauging certain global symmetries. This eliminates the ghosts from these theories while preserving all of their desirable properties. The resulting theories turn out to be precisely equivalent to Script N = 8 super Yang-Mills theories.https://authors.library.caltech.edu/records/df7ts-eec04Studies of the ABJM theory in a formulation with manifest SU(4) R-symmetry
https://resolver.caltech.edu/CaltechAUTHORS:BANjhep08c
Authors: {'items': [{'id': 'Bandres-M-A', 'name': {'family': 'Bandres', 'given': 'Miguel A.'}, 'orcid': '0000-0002-7145-8567'}, {'id': 'Lipstein-A-E', 'name': {'family': 'Lipstein', 'given': 'Arthur E.'}, 'orcid': '0000-0002-0213-186X'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2008
DOI: 10.1088/1126-6708/2008/09/027
We examine the three-dimensional Script N = 6 superconformal Chern-Simons theory with U(N) × U(N) gauge symmetry, which was recently constructed by Aharony, Bergman, Jafferis, and Maldacena (ABJM). Using a formulation with manifest SU(4) R-symmetry and no auxiliary fields, we verify in complete detail both the Poincaré supersymmetry and the conformal supersymmetry of the action. Together, these imply the complete OSp(6|4) superconformal symmetry of the theory. The potential, which is sixth order in scalar fields, is recast as a sum of squares.https://authors.library.caltech.edu/records/23srn-w4a37Recent progress in AdS/CFT
https://resolver.caltech.edu/CaltechAUTHORS:20100303-095422719
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2010
DOI: 10.1142/S0217751X10048639
The study of AdS/CFT (or gauge/gravity) duality has been one of the most active and illuminating areas of research in string theory over the past decade. The scope of its relevance and the insights it is providing seem to be ever expanding. In this talk I briefly describe some of the attempts to explore how the duality works for maximally supersymmetric systems.https://authors.library.caltech.edu/records/ba2fe-nys14Status of Superstring and M-Theory
https://resolver.caltech.edu/CaltechAUTHORS:20101108-111942679
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2010
DOI: 10.1142/S0217751X1005072X
The first lecture gives a colloquium-level overview of string theory and M-theory. The second lecture surveys various attempts to construct a viable model of particle physics. A recently proposed approach, based on F-theory, is emphasized.https://authors.library.caltech.edu/records/dgm85-xn817Higgs bosons at 98 and 125 GeV at LEP and the LHC
https://resolver.caltech.edu/CaltechAUTHORS:20130410-091323951
Authors: {'items': [{'id': 'Bélanger-Geneviève', 'name': {'family': 'Bélanger', 'given': 'Geneviève'}}, {'id': 'Ellwanger-Ulrich', 'name': {'family': 'Ellwanger', 'given': 'Ulrich'}}, {'id': 'Gunion-John-F', 'name': {'family': 'Gunion', 'given': 'John F.'}}, {'id': 'Jiang-Yun', 'name': {'family': 'Jiang', 'given': 'Yun'}}, {'id': 'Kraml-Sabine', 'name': {'family': 'Kraml', 'given': 'Sabine'}, 'orcid': '0000-0002-2613-7000'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2013
DOI: 10.1007/JHEP01(2013)069
We discuss NMSSM scenarios in which the lightest Higgs boson h 1 is consistent with the small LEP excess at ~ 98 GeV in e^+ e^− → Zh with h→bb and the heavier Higgs boson h 2 has the primary features of the LHC Higgs-like signals at 125 GeV, including an enhanced γγ rate. Verification or falsification of the 98 GeV h_1 may be possible at the LHC during the 14 TeV run. The detection of the other NMSSM Higgs bosons at the LHC and future colliders is also discussed, as well as dark matter properties of the scenario under consideration.https://authors.library.caltech.edu/records/4e3jk-tnb93Multicharge superstrings
https://resolver.caltech.edu/CaltechAUTHORS:20131203-072459897
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2013
DOI: 10.1088/1751-8113/46/45/453001
There are an infinite number of type IIB superstrings in ten dimensions, called (p, q) strings, that are labeled by two distinct string charges. They can form string junctions and string networks. These are the key to understanding the Coulomb branch BPS spectrum of N = 4 super Yang–Mills theories in four dimensions. Nongravitational theories that are analogous to type IIB superstring theory in some respects are the (2, 0) six-dimensional theories on the Coulomb branch. Each of them contains a finite number of half-BPS superstrings, which can be labeled by the root vectors of the Lie algebra. When the rank is greater than one, these strings can also form string junctions and string networks. The relationship between N = 4 super Yang–Mills theories in four dimensions and the (2, 0) theories in six dimensions can be explored by utilizing the duality between type IIB superstring theory compactified on a circle and M-theory compactified on a torus.https://authors.library.caltech.edu/records/1gan2-j9474Highly effective actions
https://resolver.caltech.edu/CaltechAUTHORS:20140310-111228221
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2014
DOI: 10.1007/JHEP01(2014)088
It is conjectured that the world-volume action of a probe D3-brane in an AdS_5 × S^5 background of type IIB superstring theory, with one unit of flux, can be reinterpreted as the exact effective action (or highly effective action) for U(2) N = 4 super Yang-Mills theory on the Coulomb branch. An analogous conjecture for U(2)_k × U(2)_(−k) ABJM theory is also presented. The main evidence supporting these conjectures is that the brane actions have all of the expected symmetries and dualities. Highly effective actions have general coordinate invariance, even though they describe nongravitational theories.https://authors.library.caltech.edu/records/nz6n7-59a31BPS Soliton Solutions of a D3-brane Action
https://resolver.caltech.edu/CaltechAUTHORS:20140813-153935670
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2014
DOI: 10.1007/JHEP07(2014)136
The world-volume action of a probe D3-brane in AdS_5 X S^5 with N = 4
units of flux has the field content, symmetries, and dualities of the U(1)
factor of N = 4U(N+1) super Yang--Mills theory, spontaneously
broken to U(N) x U(1) by being on the Coulomb branch, with the massive
fields integrated out. Thus, it might be the exact effective action (a highly
effective action), or else a useful approximation to it. We construct an
SL(2,Z) multiplet of BPS soliton solutions of the D3-brane action and show
that in the N = 1 case they correspond to the electrically charged states that
have been integrated out as well as magnetic monopoles and dyons. Their charges
are uniformly spread on a spherical surface, a soliton bubble, which can be
interpreted as a phase boundary. This picture is consistent with previous
results in the string theory and field theory literature.https://authors.library.caltech.edu/records/fa09e-anb20New Formulation of the Type IIB Superstring Action in AdS₅ X S⁵
https://resolver.caltech.edu/CaltechAUTHORS:20150812-190250857
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2015
DOI: 10.1007/JHEP09(2015)041
Previous studies of the type IIB superstring in an AdS_5×S^5 background are based on a description of the superspace geometry as the quotient space PSU(2,2|4)/SO(4,1)×SO(5). This paper develops an alternative approach in which the Grassmann coordinates provide a nonlinear realization of PSU(2,2|4) based on the quotient space PSU(2,2|4)/SU(2,2)×SU(4), and the bosonic coordinates are described as a submanifold of SU(2,2)×SU(4). This formulation keeps all bosonic symmetries manifest, and it provides the complete dependence on the Grassmann coordinates in terms of simple analytic expressions. It is used to construct the superstring world-sheet action in a form in which the PSU(2,2|4) symmetry is manifest and kappa symmetry can be established. This formulation might have some advantages compared to previous ones, but this remains to be demonstrated.https://authors.library.caltech.edu/records/q2xg7-41s07Reminiscences of Stanley Mandelstam
https://resolver.caltech.edu/CaltechAUTHORS:20170213-132727135
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2017
DOI: 10.1142/S0217751X17400024
I reminisce about my interactions with Stanley Mandelstam during my years as a graduate student at UC Berkeley (1962–66) and afterwards. His contributions to S-matrix theory, quantum field theory, and string theory are also discussed.https://authors.library.caltech.edu/records/441m6-ffb72M5-Brane and D-Brane Scattering Amplitudes
https://resolver.caltech.edu/CaltechAUTHORS:20171011-191235134
Authors: {'items': [{'id': 'Heydeman-Matthew', 'name': {'family': 'Heydeman', 'given': 'Matthew'}, 'orcid': '0000-0001-7033-9075'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}, {'id': 'Wen-Congkao', 'name': {'family': 'Wen', 'given': 'Congkao'}, 'orcid': '0000-0002-5174-1576'}]}
Year: 2017
DOI: 10.1007/JHEP12(2017)003
We present tree-level n-particle on-shell scattering amplitudes of various brane theories with 16 conserved supercharges. These include the world-volume theory of a probe D3-brane or D5-brane in 10D Minkowski spacetime as well as a probe M5-brane in 11D Minkowski spacetime, which describes self interactions of an abelian tensor supermultiplet with 6D (2, 0) supersymmetry. Twistor-string-like formulas are proposed for tree-level scattering amplitudes of all multiplicities for each of these theories. The R symmetry of the D3-brane theory is shown to be SU(4) × U(1), and the U(1) factor implies that its amplitudes are helicity conserving. Each of 6D theories (D5-brane and M5-brane) reduces to the D3-brane theory by dimensional reduction. As special cases of the general M5-brane amplitudes, we present compact formulas for examples involving only the self-dual B field with n = 4, 6, 8.https://authors.library.caltech.edu/records/wfz3q-0w454The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
https://resolver.caltech.edu/CaltechAUTHORS:20180531-181634306
Authors: {'items': [{'id': 'Cachazo-Freddy', 'name': {'family': 'Cachazo', 'given': 'Freddy'}}, {'id': 'Guevara-Alfredo', 'name': {'family': 'Guevara', 'given': 'Alfredo'}}, {'id': 'Heydeman-Matthew', 'name': {'family': 'Heydeman', 'given': 'Matthew'}, 'orcid': '0000-0001-7033-9075'}, {'id': 'Mizera-Sebastian', 'name': {'family': 'Mizera', 'given': 'Sebastian'}, 'orcid': '0000-0002-8066-5891'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}, {'id': 'Wen-Congkao', 'name': {'family': 'Wen', 'given': 'Congkao'}, 'orcid': '0000-0002-5174-1576'}]}
Year: 2018
DOI: 10.1007/JHEP09(2018)125
We present new formulas for n-particle tree-level scattering amplitudes of six-dimensional N=(1,1) super Yang-Mills (SYM) and N=(2,2) supergravity (SUGRA). They are written as integrals over the moduli space of certain rational maps localized on the (n − 3)! solutions of the scattering equations. Due to the properties of spinor-helicity variables in six dimensions, the even-n and odd-n formulas are quite different and have to be treated separately. We first propose a manifestly supersymmetric expression for the even-n amplitudes of N=(1,1) SYM theory and perform various consistency checks. By considering soft-gluon limits of the even-n amplitudes, we deduce the form of the rational maps and the integrand for n odd. The odd-n formulas obtained in this way have a new redundancy that is intertwined with the usual SL(2,ℂ) invariance on the Riemann sphere. We also propose an alternative form of the formulas, analogous to the Witten-RSV formulation, and explore its relationship with the symplectic (or Lagrangian) Grassmannian. Since the amplitudes are formulated in a way that manifests double-copy properties, formulas for the six-dimensional N=(2,2) SUGRA amplitudes follow. These six-dimensional results allow us to deduce new formulas for five-dimensional SYM and SUGRA amplitudes, as well as massive amplitudes of four-dimensional N=4 SYM on the Coulomb branch.https://authors.library.caltech.edu/records/d47e2-why76All Tree Amplitudes of 6D (2,0) Supergravity: Interacting Tensor Multiplets and the K3 Moduli Space
https://resolver.caltech.edu/CaltechAUTHORS:20190115-161244426
Authors: {'items': [{'id': 'Heydeman-Matthew', 'name': {'family': 'Heydeman', 'given': 'Matthew'}, 'orcid': '0000-0001-7033-9075'}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}, {'id': 'Wen-Congkao', 'name': {'family': 'Wen', 'given': 'Congkao'}, 'orcid': '0000-0002-5174-1576'}, {'id': 'Zhang-Shun-Qing', 'name': {'family': 'Zhang', 'given': 'Shun-Qing'}}]}
Year: 2019
DOI: 10.1103/PhysRevLett.122.111604
We present a twistorlike formula for the complete tree-level S matrix of six-dimensional (6D) (2,0) supergravity coupled to 21 Abelian tensor multiplets. This is the low-energy effective theory that corresponds to type IIB superstring theory compactified on a K3 surface. The formula is expressed as an integral over the moduli space of certain rational maps of the punctured Riemann sphere. By studying soft limits of the formula, we are able to explore the local moduli space of this theory, {[SO(5,21)]/[SO(5)×SO(21)]}. Finally, by dimensional reduction, we also obtain a new formula for the tree-level S matrix of 4D N=4 Einstein-Maxwell theory.https://authors.library.caltech.edu/records/0e7js-4p318Unified Formalism for 6D Superamplitudes Based on a Symplectic Grassmannian
https://resolver.caltech.edu/CaltechAUTHORS:20190709-160037627
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}, {'id': 'Wen-Congkao', 'name': {'family': 'Wen', 'given': 'Congkao'}, 'orcid': '0000-0002-5174-1576'}]}
Year: 2019
DOI: 10.1007/JHEP08(2019)125
Recently, twistor-like formulations of tree amplitudes involving n massless particles have been proposed for various 6D supersymmetric theories. The formulas are based on two different forms of the scattering equations: one based on rational maps and
the other based on polarized scattering equations. We show that both formulations can be interpreted in terms of a symplectic (or complex Lagrangian) Grassmannian, LG(n; 2n), and that they correspond to different ways of fixing the GL(n;C) symmetry of LG(n; 2n). This provides an understanding of the equivalence of these different-looking formulas, and it leads to new twistor-like formulas for 6D superamplitudes.https://authors.library.caltech.edu/records/818t0-njt67M5-Brane Amplitudes
https://resolver.caltech.edu/CaltechAUTHORS:20200205-151344169
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2020
DOI: 10.1088/1751-8121/ab92bc
The dynamics of a probe M5-brane, embedded as a hypersurface in eleven-dimensional Minkowski spacetime, is described by a six-dimensional world-volume theory. This theory has a variety of interesting symmetries some of which are obscure in the Lagrangian formulation of the theory. However, as summarized in this review, an alternative approach is to construct all of its on-shell tree-level scattering amplitudes. This enables understanding all of the symmetries in a satisfying way. This work is dedicated to the memory of Peter Freund.https://authors.library.caltech.edu/records/smbt6-btp50The AdS₅ x S⁵ superstring
https://resolver.caltech.edu/CaltechAUTHORS:20200423-161218753
Authors: {'items': [{'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John H.'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2020
DOI: 10.1098/rspa.2020.0305
PMCID: PMC7482206
The duality between the type IIB superstring theory in an AdS₅ × S⁵ background with N units of five-form flux and N=4 super Yang–Mills theory with a U(N) gauge group has been studied extensively. My version of the construction of the superstring world-sheet action is reviewed here.https://authors.library.caltech.edu/records/p0nyz-y2815Marvin L. Goldberger (October 22, 1922–November 26, 2014): A Biographical Memoir
https://authors.library.caltech.edu/records/vc6ce-13h70
Authors: {'items': [{'id': 'Barish-B-C', 'name': {'family': 'Barish', 'given': 'Barry'}, 'orcid': '0000-0001-6386-7371'}, {'id': 'Callan-Curtis', 'name': {'family': 'Callan', 'given': 'Curtis'}}, {'id': 'Schwarz-J-H', 'name': {'family': 'Schwarz', 'given': 'John'}, 'orcid': '0000-0001-9861-7559'}]}
Year: 2024
<p>Marvin L. Goldberger was a leading figure in theoretical particle physics during the second half of the twentieth century. After working on the Manhattan Project during World War II, he studied theoretical physics at Chicago under Enrico Fermi and received his PhD in 1948. In the two decades that followed, he played a major role in developing theories to encompass the new particles and interactions then being discovered at high energy accelerators. His research, especially the development of dispersion relations and the Goldberger-Treiman relation, helped lay the groundwork for the establishment in the 1970s of the Standard Model of particle physics. In addition to his research in theoretical physics, from the late 1950s onward he was deeply involved in providing scientific advice to the U.S. government, both through the creation and initial leadership of the JASON group and through service on the President’s Science Advisory Committee (under Pres. Lyndon Johnson). In addition to his contributions as a research scientist, Goldberger was a leader in academic administration, serving first as chair of the Princeton University physics department, then as president of the California Institute of Technology for a decade, and then as director of the Institute for Advanced Study. In all these roles. he was valued for his youthful enthusiasm, his vivid sense of humor, and his ability to capture the essence of a situation in a wisecrack, or striking one-liner. He was a man of many dimensions.</p>https://authors.library.caltech.edu/records/vc6ce-13h70