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arXiv · 1912.12271

Gamma function solutions to the star-triangle equation

Ege Eren·Ilmar Gahramanov·Shahriyar Jafarzade·Gonenc Mogol
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Abstract

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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Ege Eren, Ilmar Gahramanov, Shahriyar Jafarzade, Gonenc Mogol. 2019-12-27. Gamma function solutions to the star-triangle equation. https://arxiv.org/abs/1912.12271

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