Resurgence in complex Chern-Simons theory
High Energy Physics - Theory
2016-10-24 v2 Mathematical Physics
Geometric Topology
math.MP
Number Theory
Quantum Algebra
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.
Cite
@article{arxiv.1605.07615,
title = {Resurgence in complex Chern-Simons theory},
author = {Sergei Gukov and Marcos Marino and Pavel Putrov},
journal= {arXiv preprint arXiv:1605.07615},
year = {2016}
}
Comments
56 pages, 19 figures. v2: references added