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Resurgence in complex Chern-Simons theory

Gukov, Sergei and Marino, Marcos and Putrov, Pavel (2016) Resurgence in complex Chern-Simons theory. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160707-134251692

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Abstract

We study resurgence properties of partition function of SU(2) Chern-Simons theory (WRT invariant) on closed three-manifolds. We check explicitly that in various examples Borel transforms of asymptotic expansions posses expected analytic properties. In examples that we study we observe that contribution of irreducible flat connections to the path integral can be recovered from asymptotic expansions around abelian flat connections. We also discuss connection to Floer instanton moduli spaces, disk instantons in 2d sigma models, and length spectra of "complex geodesics" on the A-polynomial curve.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1605.07615arXivDiscussion Paper
Additional Information:Submitted on 24 May 2016. We would like to thank Miranda Cheng, Mikhail Kapranov, Amir Kashani-Poor, Albrecht Klemm, Maxim Kontsevich, Cumrun Vafa, Edward Witten, Masahito Yamazaki for useful comments and discussions. The work of S.G. is funded in part by the DOE Grant DE-SC0011632 and the Walter Burke Institute for Theoretical Physics. The work of M.M. is supported in part by the Swiss National Science Foundation, subsidies 200020-149226, 200021-156995, and by the NCCR 51NF40-141869 “The Mathematics of Physics” (SwissMAP). P.P. gratefully acknowledges support from the Institute for Advanced Study. Opinions and conclusions expressed here are those of the authors and do not necessarily reflect the views of funding agencies.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Swiss National Science Foundation (SNSF)200020-149226
Swiss National Science Foundation (SNSF)200021-156995
Institute for Advanced StudyUNSPECIFIED
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Other Numbering System:
Other Numbering System NameOther Numbering System ID
CALT-TH2016-011
Record Number:CaltechAUTHORS:20160707-134251692
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160707-134251692
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68894
Collection:CaltechAUTHORS
Deposited By: Joy Painter
Deposited On:08 Jul 2016 02:18
Last Modified:08 Jul 2016 02:18

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