Integrable boundaries for the q-Hahn process
Mathematical Physics
2022-10-12 v2 Statistical Mechanics
math.MP
Probability
Exactly Solvable and Integrable Systems
Abstract
Taking inspiration from the harmonic process with reservoirs introduced by Giardin\`a, Kurchan and the author in arXiv:1904.01048, we propose integrable boundary conditions for its trigonometric deformation which is known as the q-Hahn process. Following the formalism established by Mangazeev and Lu in arXiv:1903.00274 using the stochastic R-matrix, we argue that the proposed boundary conditions can be derived from a transfer matrix constructed in the framework of Sklyanin's extension of the quantum inverse scattering method and consequently preserve the integrable structure of the model. The approach avoids the explicit construction of the K-matrix.
Cite
@article{arxiv.2205.10512,
title = {Integrable boundaries for the q-Hahn process},
author = {Rouven Frassek},
journal= {arXiv preprint arXiv:2205.10512},
year = {2022}
}
Comments
v1: One figure and 16 pages v2: added symmetric limit and improved conclusion