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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 309, Pages 269–289
DOI: https://doi.org/10.4213/tm4091 (Mi tm4091) 		 
This article is cited in 5 scientific papers (total in 5 papers)

General Modular Quantum Dilogarithm and Beta Integrals

Gor A. Sarkissianab, Vyacheslav P. Spiridonovac

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
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DOI: https://doi.org/10.4213/tm4091
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.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 14.641.31.0001
This work is supported in part by the HSE Laboratory for Mirror Symmetry and Automorphic Forms (Russian Federation Government grant, contract no. 14.641.31.0001).
Received: October 15, 2019
Revised: December 30, 2019
Accepted: March 3, 2020
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 309, Pages 251–270
DOI: https://doi.org/10.1134/S0081543820030190
Bibliographic databases:
Document Type: Article
UDC: 517.581
Language: Russian
Citation: Gor A. Sarkissian, Vyacheslav P. Spiridonov, “General Modular Quantum Dilogarithm and Beta Integrals”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020, 269–289; Proc. Steklov Inst. Math., 309 (2020), 251–270
Citation in format AMSBIB
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\paper General Modular Quantum Dilogarithm and Beta Integrals
\inbook Modern problems of mathematical and theoretical physics
\bookinfo Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov
\serial Trudy Mat. Inst. Steklova
\yr 2020
\vol 309
\pages 269--289
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 5 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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