Gamma function solutions to the star-triangle equation

In the paper, we clarify some relations between solutions to the star-triangle equation via the gauge/YBE correspondence. We consider two solutions to the star-triangle relation in terms of Euler's gamma function. We derive these solutions from the reduction of certain basic and hyperbolic hype...

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Bibliographic Details
Main Authors Eren, Ege, Gahramanov, Ilmar, Jafarzade, Shahriyar, Mogol, Gonenc
Format Journal Article
LanguageEnglish
Published 27.12.2019
Subjects
Mathematics - Mathematical Physics
Physics - Exactly Solvable and Integrable Systems
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
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Summary:In the paper, we clarify some relations between solutions to the star-triangle equation via the gauge/YBE correspondence. We consider two solutions to the star-triangle relation in terms of Euler's gamma function. We derive these solutions from the reduction of certain basic and hyperbolic hypergeometric integral identities. These identities can be interpreted as equality of the supersymmetric partition functions of a specific three-dimensional N=2 supersymmetric dual theories.
DOI:10.48550/arxiv.1912.12271