Ruijsenaars wavefunctions as modular group matrix coefficients

Philippe Di Francesco, Rinat Kedem, Sergey Khoroshkin +2

We give a description of the Hallnäs--Ruijsenaars eigenfunctions of the 2-particle hyperbolic Ruijsenaars system as matrix coefficients for the order 4 element $S\in SL(2,\mathbb{…