Yang-Baxter equation, parameter permutations, and the elliptic beta integral
Yang-Baxter equation, parameter permutations, and the elliptic beta integral
We construct an infinite-dimensional solution of the Yang-Baxter equation (YBE) of rank 1 which is represented as an integral operator with an elliptic hypergeometric kernel acting in the space of functions of two complex variables.This R-operator intertwines the product of two standard L-operators associated with the Sklyanin algebra, an elliptic …