We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
New Elliptic Solutions of the Yang-Baxter Equation.
- Authors
Chicherin, D.; Derkachov, S.; Spiridonov, V.
- Abstract
We consider finite-dimensional reductions of an integral operator with the elliptic hypergeometric kernel describing the most general known solution of the Yang-Baxter equation with a rank 1 symmetry algebra. The reduced R-operators reproduce at their bottom the standard Baxter's R-matrix for the 8-vertex model and Sklyanin's L-operator. The general formula has a remarkably compact form and yields new elliptic solutions of the Yang-Baxter equation based on the finite-dimensional representations of the elliptic modular double. The same result is also derived using the fusion formalism.
- Subjects
YANG-Baxter equation; DIMENSIONAL reduction algorithms; INTEGRAL operators; ELLIPTIC integrals; HYPERGEOMETRIC functions; R-matrices
- Publication
Communications in Mathematical Physics, 2016, Vol 345, Issue 2, p507
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-016-2590-2