The tetrahedral Zamolodchikov algebra for the fermionic Bazhanov-Stroganov R-operator

Abstract

We find the fermionic R-operator based on Bazhanov-Stroganov three-parameter elliptic parametrization of the free fermion model, and the corresponding Yang-Baxter and decorated Yang-Baxter equations, which are of the difference type in one of the spectral parameters. We also find a solution of the corresponding tetrahedral Zamolodchikov algebra for a specific case.

9 pages; version accepted by PLB

References in corpus (3)

• On the quantization of continuous non-ultralocal integrable systems
• On the equivalence theorem for integrable systems
• Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models

Cited by in corpus (1)

• On extension of the Yang-Baxter equation and the fermionic $R$-operator