S-duality resurgence in SL(2) Chern-Simons theory
Dongmin Gang, Yasuyuki Hatsuda
TL;DR
This paper reveals a resurgence of S-duality in SL(2) Chern-Simons theory for hyperbolic 3-manifolds, demonstrated through Borel resummation of semiclassical expansions and numerical examples.
Contribution
It uncovers the emergence of S-duality via Borel resummation in SL(2) Chern-Simons theory, linking semiclassical expansions to duality phenomena.
Findings
S-duality appears through Borel resummation of semiclassical series.
Numerical evidence supports the duality in specific hyperbolic 3-manifolds.
The approach connects flat connections to duality structures.
Abstract
We find that an S-duality in SL(2) Chern-Simons theory for hyperbolic 3-manifolds emerges by the Borel resummation of a semiclassical expansion around a particular flat connection associated to the hyperbolic structure. We demonstrate it numerically with two representative examples of hyperbolic 3-manifolds.
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