Open Access
Resurgence and Topological Strings
Marcel Vonk
- Vol. 93, pp 221
TLDR
In this article, the idea of resurgence is used to obtain non-perturbative information from the large-order behavior of perturbative ex- pansions, which can be very fruitful in physics applications.Abstract:
The mathematical idea of resurgence allows one to obtain non- perturbative information from the large{order behavior of perturbative ex- pansions. This idea can be very fruitful in physics applications, in particular if one does not have access to such nonperturbative information from rst prin- ciples. An important example is topological string theory, which is a priori only dened as an asymptotic perturbative expansion in the coupling constant gs. We show how the idea of resurgence can be combined with the holomor- phic anomaly equation to extend the perturbative denition of the topological string and obtain, in a model{independent way, a large amount of information about its nonperturbative structure.read more
Citations
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Journal ArticleDOI
A primer on resurgent transseries and their asymptotics
TL;DR: In this paper, resurgence and transseries are used to encode the complete large-order asymptotic behaviour of the coefficients from a perturbative expansion, generically in terms of (multi) instanton sectors and for each problem in terms with its Stokes constants, which are recast in equivalent physical languages: either a statistical mechanical language, as motions in chains and lattices; or a conformal field theoretical language, with underlying Virasoro-like algebraic structures.
Journal ArticleDOI
A Primer on Resurgent Transseries and Their Asymptotics
TL;DR: In this paper, the authors provide a good introduction to the resurgence and transseries of perturbative expansion models, which can be recast in equivalent physical languages: either a statistical mechanical language, as motions in chains and lattices; or a conformal field theoretical language, with underlying Virasoro-like algebraic structures.
Journal ArticleDOI
Cheshire Cat resurgence, Self-resurgence and Quasi-Exact Solvable Systems
TL;DR: In this article, the authors consider the Double Sine-Gordon (DSG) and the Tilted Double Well (TDW) potentials and show that the convergence of DSG and TDW is determined by the quantization of the hidden topological angle.
Journal ArticleDOI
Resurgence of the Cusp Anomalous Dimension
TL;DR: In this paper, the strong coupling limit of the cusp anomalous dimension in planar N=4 super Yang-Mills theory is revisited and the perturbative and non-perturbative parts in the transseries are closely interrelated.
Journal ArticleDOI
Resurgence of one-point functions in a matrix model for 2D type IIA superstrings
Tsunehide Kuroki,Fumihiko Sugino +1 more
TL;DR: In this article, a supersymmetric double-well matrix model and two-dimensional type IIA superstring theory on a Ramond-Ramond background are discussed and the resurgence structure of these one-point functions of single-trace operators is discussed.
References
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Book
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Eric Zaslow,Ravi Vakil,Kentaro Hori,Richard P. Thomas,Cumrun Vafa,Albrecht Klemm,Rahul Pandharipande,Sheldon Katz +7 more
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TL;DR: In this article, the authors studied the stringy genus-one partition function of N = 2 SCFTs and derived the partition function for topological theory coupled to topological gravity.
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TL;DR: In this paper, the authors propose a general prescription to extract spacetime instanton actions from general matrix models, in terms of period integrals of the spectral curve, and use it to determine them explicitly in the ABJM matrix model, as exact functions of the T Hooft coupling.
Journal ArticleDOI
The Resurgence of Instantons in String Theory
TL;DR: In this article, a detailed treatment of nonperturbative solutions in string theory, and their relation to the large-order behavior of perturbation theory, making use of transseries and resurgent analysis, is presented.
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