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arXiv · 2107.06880

Hyperbolic and trigonometric hypergeometric solutions to the star-star equation

Erdal Catak·Ilmar Gahramanov·Mustafa Mullahasanoglu
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Abstract

We construct the hyperbolic and trigonometric solutions to the star-star relation via the gauge/YBE correspondence by using the three-dimensional lens partition function and superconformal index for a certain N=2 supersymmetric gauge dual theories. This correspondence relates supersymmetric gauge theories to exactly solvable models of statistical mechanics. The equality of partition functions for the three-dimensional supersymmetric dual theories can be written as an integral identity for hyperbolic and basic hypergeometric functions.

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Erdal Catak, Ilmar Gahramanov, Mustafa Mullahasanoglu. 2021-07-14. Hyperbolic and trigonometric hypergeometric solutions to the star-star equation. https://doi.org/10.1140/epjc/s10052-022-10661-x

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