Article Dans Une Revue Communications in Mathematical Physics Année : 2016

New elliptic solutions of the Yang-Baxter equation

S.E. Derkachov
  • Fonction : Auteur
V.P. Spiridonov
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-01553924 , version 1 (03-07-2017)

Identifiants

Citer

D. Chicherin, S.E. Derkachov, V.P. Spiridonov. New elliptic solutions of the Yang-Baxter equation. Communications in Mathematical Physics, 2016, 345 (2), pp.507-543. ⟨10.1007/s00220-016-2590-2⟩. ⟨hal-01553924⟩
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