Comments on the multi-spin solution to the Yang–Baxter equation and basic hypergeometric sum/integral identity

Abstract

We present a multi-spin solution to the Yang–Baxter equation (YBE). The solution corresponds to the integrable lattice spin model of statistical mechanics with positive Boltzmann weights and parametrized in terms of the basic hypergeometric functions. We obtain this solution from a nontrivial basic hypergeometric sum-integral identity which originates from the equality of supersymmetric indices for certain three-dimensional [Formula: see text] = 2 Seiberg dual theories.