General modular quantum dilogarithm and beta integrals
Gor Sarkissian, Vyacheslav P. Spiridonov
TL;DR
This paper derives an exact formula for a beta integral involving modular quantum dilogarithm functions, linking it to supersymmetric field theories and potential applications in conformal field theory.
Contribution
It introduces a new exact evaluation of a beta integral constructed from modular quantum dilogarithms, connecting mathematical functions with physical theories.
Findings
Exact evaluation formula for the beta integral.
Connection to partition functions of 3d supersymmetric theories.
Potential applications to 2d conformal field theory.
Abstract
We consider a univariate beta integral composed from general modular quantum dilogarithm functions and prove its exact evaluation formula. It represents the partition function of a particular supersymmetric field theory on the general squashed lens space. Its possible applications to conformal field theory are briefly discussed as well.
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