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

Abstract

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.

Keywords

• Chern-Simons Theories
• Resummation
• Topological Field Theories