Abstract
We present a generalization of the master solution to the quantum Yang-Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic gamma-function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs.
| Original language | English |
|---|---|
| Pages (from-to) | 475-496 |
| Number of pages | 22 |
| Journal | Nuclear Physics B |
| Volume | 856 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 11 Mar 2012 |