Baxter operators in Ruijsenaars hyperbolic system I. Commutativity of Q-operators
Mathematical Physics
2023-08-30 v3 High Energy Physics - Theory
math.MP
Quantum Algebra
Representation Theory
Abstract
We introduce Baxter Q-operators for the quantum Ruijsenaars hyperbolic system. We prove that they represent a commuting family of integral operators and also commute with Macdonald difference operators, which are gauge equivalent to the Ruijsenaars Hamiltonians of the quantum system. The proof of commutativity of the Baxter operators uses a hypergeometric identity on rational functions that generalize Ruijsenaars kernel identities.
Keywords
Cite
@article{arxiv.2303.06383,
title = {Baxter operators in Ruijsenaars hyperbolic system I. Commutativity of Q-operators},
author = {N. Belousov and S. Derkachov and S. Kharchev and S. Khoroshkin},
journal= {arXiv preprint arXiv:2303.06383},
year = {2023}
}