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S-duality resurgence in SL(2) Chern-Simons theory

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arxiv 1710.09994 v1 pith:VDKFFWO3 submitted 2017-10-27 hep-th math-phmath.MP

S-duality resurgence in SL(2) Chern-Simons theory

Dongmin Gang , Yasuyuki Hatsuda This is my paper
classification hep-th math-phmath.MP
keywords hyperbolicchern-simonsmanifoldss-dualitytheoryaroundassociatedborel
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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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