Topic
Topological string theory
About: Topological string theory is a research topic. Over the lifetime, 1206 publications have been published within this topic receiving 54758 citations.
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TL;DR: In this article, the emergence of integrability in the context of the AdS/CFT correspondence at an introductory level is discussed. And the spectrum of the model in the limit of long operators/strings is determined.
Abstract: This paper reviews the emergence of integrability in the context of the AdS/CFT correspondence at an introductory level. In particular, we discuss how planar supersymmetric Yang–Mills theory and free string theory on AdS5 × S5 can both be related to integrable systems in one spatial dimension. We determine the spectrum of the model in the limit of long operators/strings.
11 citations
TL;DR: In this paper, a self-consistent factorization of the closed string Hilbert space using extended TQFT methods is presented, which is based on the Gopakumar-Vafa duality.
Abstract: Progress in identifying the bulk microstate interpretation of the Ryu-Takayanagi formula requires understanding how to define entanglement entropy in the bulk closed string theory. Unfortunately, entanglement and Hilbert space factorization remains poorly understood in string theory. As a toy model for AdS/CFT, we study the entanglement entropy of closed strings in the topological A-model in the context of Gopakumar-Vafa duality. We will present our results in two separate papers. In this work, we consider the bulk closed string theory on the resolved conifold and give a self-consistent factorization of the closed string Hilbert space using extended TQFT methods. We incorporate our factorization map into a Frobenius algebra describing the fusion and splitting of Calabi-Yau manifolds, and find string edge modes transforming under a q-deformed surface symmetry group. We define a string theory analogue of the Hartle-Hawking state and give a canonical calculation of its entanglement entropy from the reduced density matrix. Our result matches with the geometrical replica trick calculation on the resolved conifold, as well as a dual Chern-Simons theory calculation which will appear in our next paper [1]. We find a realization of the Susskind-Uglum proposal identifying the entanglement entropy of closed strings with the thermal entropy of open strings ending on entanglement branes. We also comment on the BPS microstate counting of the entanglement entropy. Finally we relate the nonlocal aspects of our factorization map to analogous phenomenon recently found in JT gravity.
11 citations
TL;DR: In this article, the instanton partition function of (q, t)-deformed U(N) Yang-Mills theory was derived as an analytical continuation of the semi-classical expansion of refined Chern-Simons theory.
Abstract: We study the relationship between refined Chern-Simons theory on lens spaces S
3/
$ \mathbb{Z} $
p
and (q,t)-deformed Yang-Mills theory on the sphere S
2. We derive the instanton partition function of (q, t)-deformed U(N) Yang-Mills theory and describe it explicitly as an analytical continuation of the semi-classical expansion of refined Chern-Simons theory. The derivations are based on a generalization of the Weyl character formula to Macdonald polynomials. The expansion is used to formulate q-generalizations of β-deformed matrix models for refined Chern-Simons theory, as well as conjectural formulas for the χ
y
-genus of the moduli space of U(N) instantons on the surface $ \mathcal{O} $
(−p) → $ \mathbb{P} $
1 for all p ≥ 1 which enumerate black hole microstates in refined topological string theory. We study the large N phase structures of the refined gauge theories, and match them with refined topological string theory on the resolved conifold.
11 citations
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TL;DR: In this article, a survey of the relations between the Boyer-Plebanski description of self-dual gravity through the heavenly equations and the physics of N = 2 Strings is presented.
Abstract: In this paper we survey some of the relations between Plebanski description of self-dual gravity through the heavenly equations and the physics (and mathematics) of N=2 Strings. In particular we focus on the correspondence between the infinite hierarchy in the ground ring structure of BRST operators and its associated Boyer-Plebanski construction of infinite conserved quantities in self-dual gravity. We comment on ``Mirror Symmetry'' in these models and the large-N duality between topological N=4 gauge theories in two dimensions and topological gravity in four dimensions. Finally D-branes in this context are briefly outlined.
11 citations
Posted Content•
TL;DR: In this article, the deformation of a topological field theory gives the first order formulation of Yang-Mills theory; Feynman rules are given and the standard uv-behaviour is recovered.
Abstract: The deformation of a topological field theory, namely the pure BF theory, gives the first order formulation of Yang-Mills theory; Feynman rules are given and the standard uv-behaviour is recovered In this formulation new non local observables can be introduced following the topological theory and giving an explicit realization of `t Hooft algebra
11 citations