The hyperbolic modular double and the Yang-Baxter equation
Mathematical Physics
2018-11-22 v3 High Energy Physics - Theory
math.MP
Abstract
We construct a hyperbolic modular double -- an algebra lying in between the Faddeev modular double for and the elliptic modular double. The intertwining operator for this algebra leads to an integral operator solution of the Yang-Baxter equation associated with a generalized Faddeev-Volkov lattice model introduced by the second author. We describe also the L-operator and finite-dimensional R-matrices for this model.
Cite
@article{arxiv.1511.00131,
title = {The hyperbolic modular double and the Yang-Baxter equation},
author = {D. Chicherin and V. P. Spiridonov},
journal= {arXiv preprint arXiv:1511.00131},
year = {2018}
}
Comments
29 pages, 4 figures. v3: references added, to appear in Advanced Studies in Pure Mathematics