2023arXiv (Cornell University)Open access

Refined $E_n$ Chern-Simons theory

M. Y. Avetisyan, R. L. Mkrtchyan

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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.

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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.

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Available 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.

Key concepts: Chern–Simons theory, Partition function (quantum field theory), Mathematics, String theory, Sine, Partition (number theory), Gauge theory, Pure mathematics

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