Hyperbolic and trigonometric hypergeometric solutions to the star-star equation
High Energy Physics - Theory
2023-05-05 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.2107.06880,
title = {Hyperbolic and trigonometric hypergeometric solutions to the star-star equation},
author = {Erdal Catak and Ilmar Gahramanov and Mustafa Mullahasanoglu},
journal= {arXiv preprint arXiv:2107.06880},
year = {2023}
}
Comments
14 pages, v2: minor corrections and comments, v3: minor corrections