All regular $4\times 4$ solutions of the Yang-Baxter equation

Abstract

We complete the classification of $4\times 4$ regular solutions of the Yang-Baxter equation. Apart from previously known models, we find four new models of non-difference form. All the new models give rise to Hamiltonians and transfer matrices that have a non-trivial Jordan block structure. One model corresponds to a non-diagonalisable integrable deformation of the XXX spin chain.

18 pages. v2: references added. v3: typos corrected/references added

Cited by in corpus (1)

• An integrable deformed Landau-Lifshitz model with particle production?