Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry
Mathematical Physics
2024-03-25 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
We introduce and study a new family of commuting Baxter operators in the Ruijsenaars hyperbolic system, different from that considered by us earlier. Using a degeneration of Rains integral identity we verify the commutativity between the two families of Baxter operators and explore this fact for the proof of the coupling constant symmetry of the wave function. We also establish a connection between new Baxter operators and Noumi-Sano difference operators.
Cite
@article{arxiv.2308.07619,
title = {Baxter operators in Ruijsenaars hyperbolic system IV. Coupling constant reflection symmetry},
author = {N. Belousov and S. Derkachov and S. Kharchev and S. Khoroshkin},
journal= {arXiv preprint arXiv:2308.07619},
year = {2024}
}