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.
%0 Generic
%1 Gukov2016Resurgence
%A Gukov, Sergei
%A Marino, Marcos
%A Putrov, Pavel
%D 2016
%K chern-simons, moonshine
%T Resurgence in complex Chern-Simons theory
%U http://arxiv.org/abs/1605.07615
%X 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.
@misc{Gukov2016Resurgence,
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.}},
added-at = {2019-02-26T10:37:35.000+0100},
archiveprefix = {arXiv},
author = {Gukov, Sergei and Marino, Marcos and Putrov, Pavel},
biburl = {https://www.bibsonomy.org/bibtex/20a35185a520bb5ee7ec39dc9bf727f43/acastro},
citeulike-article-id = {14053207},
citeulike-linkout-0 = {http://arxiv.org/abs/1605.07615},
citeulike-linkout-1 = {http://arxiv.org/pdf/1605.07615},
day = 24,
eprint = {1605.07615},
interhash = {c9c40dc189d7ea89256ee8136c062272},
intrahash = {0a35185a520bb5ee7ec39dc9bf727f43},
keywords = {chern-simons, moonshine},
month = may,
posted-at = {2016-05-30 20:43:46},
priority = {2},
timestamp = {2019-02-26T10:37:35.000+0100},
title = {{Resurgence in complex Chern-Simons theory}},
url = {http://arxiv.org/abs/1605.07615},
year = 2016
}