A resurgence analysis of the $SU(2)$ Chern-Simons partition functions on a Brieskorn homology sphere $\Sigma (2,5,7)$

Abstract

We perform a resurgence analysis of the $SU(2)$ Chern-Simons partition function on a Brieksorn homology sphere $\Sigma (2,5,7)$. Starting from an exact Chern-Simons partition function, we study the Borel resummation of its perturbative expansion.

References in corpus (6)

• Analytic Continuation Of Chern-Simons Theory
• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• Fivebranes and 3-manifold homology
• Chern-Simons theory, analytic continuation and arithmetic
• Analyticity of the Free Energy of a Closed 3-Manifold

Cited by in corpus (5)

• 3d Modularity
• $\hat{Z}$ invariants at rational $\tau$
• Resurgent Analysis for Some 3-manifold Invariants
• Resurgent Analysis of SU(2) Chern-Simons Partition Function on Brieskorn Spheres $\Sigma (2,3,6n+5)$
• Witten-Reshetikhin-Turaev Invariants, Homological Blocks, and Quantum Modular Forms for Unimodular Plumbing H-Graphs