The hyperbolic modular double and the YangBaxter equation
Abstract
We construct a hyperbolic modular double  an algebra lying in between the Faddeev modular double for $U_q(sl_2)$ and the elliptic modular double. The intertwining operator for this algebra leads to an integral operator solution of the YangBaxter equation associated with a generalized FaddeevVolkov lattice model introduced by the second author. We describe also the Loperator and finitedimensional Rmatrices for this model.
 Publication:

arXiv eprints
 Pub Date:
 October 2015
 DOI:
 10.48550/arXiv.1511.00131
 arXiv:
 arXiv:1511.00131
 Bibcode:
 2015arXiv151100131C
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory
 EPrint:
 29 pages, 4 figures. v3: references added, to appear in Advanced Studies in Pure Mathematics