Published July 8, 2016
| Submitted
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Resurgence in complex Chern-Simons theory
- Creators
-
Gukov, Sergei
- Marino, Marcos
- Putrov, Pavel
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.
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.Attached Files
Submitted - 1605.07615v1.pdf
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1605.07615v1.pdf
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Additional details
- Eprint ID
- 68894
- Resolver ID
- CaltechAUTHORS:20160707-134251692
- DE-SC0011632
- Department of Energy (DOE)
- 200020-149226
- Swiss National Science Foundation (SNSF)
- 200021-156995
- Swiss National Science Foundation (SNSF)
- Institute for Advanced Study
- Walter Burke Institute for Theoretical Physics, Caltech
- Created
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2016-07-08Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2016-011