General modular quantum dilogarithm and beta integrals
High Energy Physics - Theory
2023-04-11 v4 Mathematical Physics
Classical Analysis and ODEs
math.MP
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.
Cite
@article{arxiv.1910.11747,
title = {General modular quantum dilogarithm and beta integrals},
author = {Gor Sarkissian and Vyacheslav P. Spiridonov},
journal= {arXiv preprint arXiv:1910.11747},
year = {2023}
}
Comments
typos corrected, 20 pages