Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity
Mathematical Physics
2017-11-15 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We present a multi-spin solution to the Yang-Baxter equation. The solution corresponds to the integrable lattice spin model of statistical mechanics with positive Boltzmann weights and parameterized in terms of the basic hypergeometric functions. We obtain this solution from a non-trivial basic hypergeometric sum-integral identity which originates from the equality of supersymmetric indices for certain three-dimensional N=2 Seiberg dual theories.
Keywords
Cite
@article{arxiv.1710.09106,
title = {Comments on the multi-spin solution to the Yang-Baxter equation and basic hypergeometric sum/integral identity},
author = {Ilmar Gahramanov and Shahriyar Jafarzade},
journal= {arXiv preprint arXiv:1710.09106},
year = {2017}
}
Comments
8 pp, based on a talk given at the XXVth International Conference on Integrable Systems and Quantum symmetries (ISQS-25), Prague, Czech Republic, 06-10 June, 2017; v2: minor changes