On integrability of a $q$-oscillator lattice with a $B$-boundary
Mathematical Physics
2025-08-19 v1 math.MP
Abstract
In this paper we propose a method of construction of a double layer-to-layer auxiliary transfer matrix defined on a half-plane with a boundary. The transfer matrix obtained has the following features: - It produces a complete set of integrals of motion, - Its ingredients can be seen as an auxiliary problem for Kuniba-Okado reflection matrix, - The model obtained has no quantum group interpretation.
Cite
@article{arxiv.2508.12540,
title = {On integrability of a $q$-oscillator lattice with a $B$-boundary},
author = {Sergey Sergeev},
journal= {arXiv preprint arXiv:2508.12540},
year = {2025}
}