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Gamma function solutions to the star-triangle equation

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arxiv 1912.12271 v2 pith:4G4PAZTF submitted 2019-12-27 math-ph hep-thmath.MPnlin.SI

Ege Eren , Ilmar Gahramanov , Shahriyar Jafarzade , Gonenc Mogol This is my paper · ORCID
classification math-phhep-thmath.MPnlin.SI
keywords solutionsstar-triangleequationfunctiongammaidentitiessupersymmetricbasic
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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.

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  1. Flipping relation as a reduced star-star relation

    hep-th 2025-08 conditional novelty 5.0 of 10

    A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.

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