Gamma function solutions to the star-triangle equation
Mathematical Physics
2020-05-06 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1912.12271,
title = {Gamma function solutions to the star-triangle equation},
author = {Ege Eren and Ilmar Gahramanov and Shahriyar Jafarzade and Gonenc Mogol},
journal= {arXiv preprint arXiv:1912.12271},
year = {2020}
}
Comments
17 pages