A new dynamical reflection algebra and related quantum integrable systems
Mathematical Physics
2020-09-25 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We propose a new dynamical reflection algebra, distinct from the previous dynamical boundary algebra and semi-dynamical reflection algebra. The associated Yang-Baxter equations, coactions, fusions, and commuting traces are derived. Explicit examples are given and quantum integrable Hamiltonians are constructed. They exhibit features similar to the Ruijsenaars-Schneider Hamiltonians.
Cite
@article{arxiv.1106.3264,
title = {A new dynamical reflection algebra and related quantum integrable systems},
author = {J. Avan and E. Ragoucy},
journal= {arXiv preprint arXiv:1106.3264},
year = {2020}
}
Comments
16 pages v2: signs in the classical reflection algebra corrected