Gor A. Sarkissian, Vyacheslav P. Spiridonov, “General Modular Quantum Dilogarithm and Beta Integrals”, Trudy Mat. Inst. Steklova, 2020, Volume 309,Pages <nobr>269

This article is cited in 5 papers

General Modular Quantum Dilogarithm and Beta Integrals

Gor A. Sarkissian^ab, Vyacheslav P. Spiridonov^ac

^a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, ul. Joliot-Curie 6, Dubna, Moscow oblast, 141980 Russia
^b Faculty of Physics, Yerevan State University, Alex Manoogian 1, 0025, Yerevan, Armenia
^c National Research University Higher School of Economics, ul. Myasnitskaya 20, Moscow, 101000 Russia

Abstract: We consider a univariate beta integral composed of general modular quantum dilogarithm functions and prove its exact evaluation formula. It represents the partition function of a particular 3d supersymmetric field theory on the general squashed lens space. Its possible applications to 2d conformal field theory are briefly discussed as well.

UDC: 517.581

Received: October 15, 2019
Revised: December 30, 2019
Accepted: March 3, 2020

DOI: 10.4213/tm4091