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

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.

23 pages

References in corpus (6)

• Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
• Generalized Volume Conjecture and the A-Polynomials -- the Neumann-Zagier Potential Function as a Classical Limit of Quantum Invariant
• SL(2,C) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial
• Holography of 3d-3d correspondence at Large N
• Teichmuller TQFT vs Chern-Simons Theory
• Smallest 3d hyperbolic manifolds via simple 3d theories

Cited by in corpus (16)

• TBA equations and resurgent Quantum Mechanics
• Non-perturbative approaches to the quantum Seiberg-Witten curve
• Rotating Black Hole Entropy from M5-branes
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Higher-Derivative Supergravity, Wrapped M5-branes, and Theories of Class $\mathcal{R}$
• The resurgent structure of quantum knot invariants
• Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points
• Quantum phase transition and Resurgence: Lessons from 3d $\mathcal{N}=4$ SQED
• Resurgence and Lefschetz thimble in 3d N=2 supersymmetric Chern-Simons matter theories
• Resumming perturbative series in the presence of monopole bubbling effects
• Resurgence of one-point functions in a matrix model for 2D type IIA superstrings
• Two-point functions at arbitrary genus and its resurgence structure in a matrix model for 2D type IIA superstrings
• Resurgence in complex Chern-Simons theory at generic levels
• Heisenberg-Euler and the Quantum Dilogarithm
• Type-III Scotogenic Model: Inflation, Dark Matter and Collider Phenomenology