Refined E_n Chern-Simons theory

2023/04/11 by M. Y. Avetisyan, R. L. Mkrtchyan, Avetisyan, M. Y. +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2304.05184

openalex publication_date 2023/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The partition function of refined Chern-Simons theory on 3d sphere for the exceptional E_n gauge algebras is presented in terms of multiple sine functions. Gopakumar-Vafa (BPS) approximation is calculated and presented in the form of some refined topological string partition function.

Related

• On partition functions of refined Chern-Simons theories on S³
• Resurgence in complex Chern-Simons theory
• A resurgence analysis of the SU(2) Chern-Simons partition functions on a Brieskorn homology sphere Σ(2,5,7)
• Complex Chern-Simons theory at level k via the 3d-3d correspondence
• Exact results in N=8 Chern-Simons-matter theories and quantum geometry