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A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenThu, 30 Nov 2023 18:21:23 +0000Schwinger-Dyson Equation in Three-Dimensional Simplicial Quantum Gravity
https://resolver.caltech.edu/CaltechAUTHORS:20161221-134133670
Authors: Ooguri, Hirosi
Year: 1993
DOI: 10.1007/978-1-4899-1612-9_4
We study simplicial quantum gravity in three dimensions. Motivated by Boulatov's model which generates a sum over simplicial complexes weighted with the Turaev-Viro invariant, we introduce boundary operators in the simplicial gravity associated to compact orientable surfaces. An amplitude of the boundary operator is given by a sum over triangulations in the interior of the boundary surface. It turns out that the amplitude solves the Schwinger-Dyson equation even if we restrict the topology in the interior of the surface, so long as the surface is non-degenerate. We propose a set of factorization conditions on the amplitudes which singles out a solution associated to triangulations of S^3.https://authors.library.caltech.edu/records/bgsv5-tdz48Chapter 6. Lectures on Topological String Theory
https://resolver.caltech.edu/CaltechAUTHORS:20120814-102100151
Authors: Ooguri, Hirosi
Year: 2012
DOI: 10.1007/978-3-642-25947-0_6
In string theory, one typically studies em beddings of the string worldsheet E (which is a Riemann surface) into a 10-dimensional manifold of the form X : Σ → R^(1,3) × M,
with M a compact 6-dimensional manifold. In the following, we will restrict our attention to the study of supersymmetric sigma models onto the 6 compact dimensions.
In particular, we will assume M to be a Calabi-Yau threefold so that the theory possesses N = (2, 2) worldsheet superconformal symmetry.https://authors.library.caltech.edu/records/beqdn-6wr67