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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenTue, 16 Apr 2024 16:17:05 +0000A 3d-3d appetizer
https://resolver.caltech.edu/CaltechAUTHORS:20150324-090428497
Authors: {'items': [{'id': 'Pei-Du', 'name': {'family': 'Pei', 'given': 'Du'}, 'orcid': '0000-0001-5587-6905'}, {'id': 'Ye-Ke', 'name': {'family': 'Ye', 'given': 'Ke'}, 'orcid': '0000-0002-2978-2013'}]}
Year: 2016
DOI: 10.1007/JHEP11(2016)008
We test the 3d-3d correspondence for theories that are labeled by Lens spaces. We find a full agreement between the index of the 3d N=2 "Lens space theory" T [L(p, 1)] and the partition function of complex Chern-Simons theory on L(p, 1). In particular, for p = 1, we show how the familiar S^3 partition function of Chern-Simons theory arises from the index of a free theory. For large p, we find that the index of T[L(p, 1)] becomes a constant independent of p. In addition, we study T[L(p, 1)] on the squashed three-sphere S_b^3. This enables us to see clearly, at the level of partition function, to what extent Gℂ complex Chern-Simons theory can be thought of as two copies of Chern-Simons theory with compact gauge group G.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/9k6mj-e9298On the Chiral Ring and Vacua of N = 1 Adjoint SQCD
https://resolver.caltech.edu/CaltechAUTHORS:20170614-115845966
Authors: {'items': [{'id': 'Ye-Ke', 'name': {'family': 'Ye', 'given': 'Ke'}, 'orcid': '0000-0002-2978-2013'}]}
Year: 2017
DOI: 10.48550/arXiv.1706.02723
We analyze classical and quantum chiral ring relations of four dimensional N=1 adjoint SQCD with superpotential turned on for the adjoint field. In particular, for the mass deformed theory we obtain the complete on shell vacuum expectation value for various gauge invariant chiral operators and find non-trivial gaugino condensations. When approaching to massless limit nontrivial flat directions in the moduli space of vacua appear, where the Coulomb branch can be naturally classified and the Higgs branch receives quantum corrections. We argue that the solution of the chiral ring is in one-to-one correspondence with supersymmetric vacua, provided that an additional Konishi anomaly equation is included.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/f2f4m-myn63Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality
https://resolver.caltech.edu/CaltechAUTHORS:20160707-133458529
Authors: {'items': [{'id': 'Gukov-S', 'name': {'family': 'Gukov', 'given': 'Sergei'}, 'orcid': '0000-0002-9486-1762'}, {'id': 'Pei-Du', 'name': {'family': 'Pei', 'given': 'Du'}, 'orcid': '0000-0001-5587-6905'}, {'id': 'Yan-Wenbin', 'name': {'family': 'Yan', 'given': 'Wenbin'}}, {'id': 'Ye-Ke', 'name': {'family': 'Ye', 'given': 'Ke'}, 'orcid': '0000-0002-2978-2013'}]}
Year: 2018
DOI: 10.1007/s00220-017-3074-8
In this paper, we show the equivalence between two seemingly distinct 2d TQFTs: one comes from the "Coulomb branch index" of the class SS theory T[Σ,G] on L(k,1)×S^1, the other is the LGLG "equivariant Verlinde formula", or equivalently partition function of LGCLGC complex Chern–Simons theory on Σ×S^1. We first derive this equivalence using the M-theory geometry and show that the gauge groups appearing on the two sides are naturally G and its Langlands dual LGLG. When G is not simply-connected, we provide a recipe of computing the index of T[Σ,G] as summation over the indices of T[Σ,G] with non-trivial background 't Hooft fluxes, where G is the universal cover of G. Then we check explicitly this relation between the Coulomb index and the equivariant Verlinde formula for G=SU(2) or SO(3). In the end, as an application of this newly found relation, we consider the more general case where G is SU(N) or PSU(N) and show that equivariant Verlinde algebra can be derived using field theory via (generalized) Argyres–Seiberg duality. We also attach a Mathematica notebook that can be used to compute the SU(3) equivariant Verlinde coefficients.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/ywftn-q2j47Argyres-Douglas matter and S-duality. Part II
https://resolver.caltech.edu/CaltechAUTHORS:20180402-103727008
Authors: {'items': [{'id': 'Xie-Dan', 'name': {'family': 'Xie', 'given': 'Dan'}, 'orcid': '0000-0003-2467-976X'}, {'id': 'Ye-Ke', 'name': {'family': 'Ye', 'given': 'Ke'}, 'orcid': '0000-0002-2978-2013'}]}
Year: 2018
DOI: 10.1007/JHEP03(2018)186
We study S-duality of Argyres-Douglas theories obtained by compactification of 6d (2,0) theories of ADE type on a sphere with irregular punctures. The weakly coupled descriptions are given by the degeneration limit of auxiliary Riemann sphere with marked points, among which three punctured sphere represents isolated superconformal theories. We also discuss twisted irregular punctures and their S-duality.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/dapvs-nt261Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
https://resolver.caltech.edu/CaltechAUTHORS:20170201-094330289
Authors: {'items': [{'id': 'Fredrickson-L', 'name': {'family': 'Fredrickson', 'given': 'Laura'}}, {'id': 'Pei-Du', 'name': {'family': 'Pei', 'given': 'Du'}, 'orcid': '0000-0001-5587-6905'}, {'id': 'Yan-Wenbin', 'name': {'family': 'Yan', 'given': 'Wenbin'}}, {'id': 'Ye-Ke', 'name': {'family': 'Ye', 'given': 'Ke'}, 'orcid': '0000-0002-2978-2013'}]}
Year: 2018
DOI: 10.1007/JHEP01(2018)150
We use Coulomb branch indices of Argyres-Douglas theories on S1×L(k,1) to quantize moduli spaces M_H of wild/irregular Hitchin systems. In particular, we obtain formulae for the "wild Hitchin characters" -- the graded dimensions of the Hilbert spaces from quantization -- for four infinite families of M_H, giving access to many interesting geometric and topological data of these moduli spaces. We observe that the wild Hitchin characters can always be written as a sum over fixed points in M_H under the U(1) Hitchin action, and a limit of them can be identified with matrix elements of the modular transform STkS in certain two-dimensional chiral algebras. Although naturally fitting into the geometric Langlands program, the appearance of chiral algebras, which was known previously to be associated with Schur operators but not Coulomb branch operators, is somewhat surprising.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/q4ma4-w19323d TQFTs from Argyres–Douglas theories
https://resolver.caltech.edu/CaltechAUTHORS:20180915-165620259
Authors: {'items': [{'id': 'Dedushenko-M', 'name': {'family': 'Dedushenko', 'given': 'Mykola'}, 'orcid': '0000-0002-9273-7602'}, {'id': 'Gukov-S', 'name': {'family': 'Gukov', 'given': 'Sergei'}, 'orcid': '0000-0002-9486-1762'}, {'id': 'Nakajima-Hiraku', 'name': {'family': 'Nakajima', 'given': 'Hiraku'}}, {'id': 'Pei-Du', 'name': {'family': 'Pei', 'given': 'Du'}, 'orcid': '0000-0001-5587-6905'}, {'id': 'Ye-Ke', 'name': {'family': 'Ye', 'given': 'Ke'}, 'orcid': '0000-0002-2978-2013'}]}
Year: 2020
DOI: 10.1088/1751-8121/abb481
We construct a new class of three-dimensional topological quantum field theories (3d TQFTs) by considering generalized Argyres–Douglas theories on S¹ × M₃ with a non-trivial holonomy of a discrete global symmetry along the S¹. For the minimal choice of the holonomy, the resulting 3d TQFTs are non-unitary and semisimple, thus distinguishing themselves from theories of Chern–Simons and Rozansky–Witten types respectively. Changing the holonomy performs a Galois transformation on the TQFT, which can sometimes give rise to more familiar unitary theories such as the (G₂)₁ and (F₄)₁ Chern–Simons theories. Our construction is based on an intriguing relation between topologically twisted partition functions, wild Hitchin characters, and chiral algebras which, when combined together, relate Coulomb branch and Higgs branch data of the same 4d N = 2 theory. We test our proposal by applying localization techniques to the conjectural N = 1 UV Lagrangian descriptions of the (A₁, A₂), (A₁, A₃) and (A₁, D₃) theories.https://authors.library.caltech.eduhttps://authors.library.caltech.edu/records/bkvxa-xz107