학술논문
On extension of the Yang-Baxter equation and the fermionic $R$-operator.
Document Type
Journal
Author
Melikyan, A. (BR-BRSL-IP) AMS Author Profile
Source
Subject
81 Quantum theory -- 81R Groups and algebras in quantum theory
81R12Relations with integrable systems
81R12
Language
English
Abstract
Summary: ``We consider the fermionic $R$-operator based on Bazhanov-Stroganov's three-parameter elliptic parametrization of the free fermion model, and find the most general solution of the related tetrahedral Zamolodchikov algebra in the trigonometric limit for an arbitrary set of parameters. This allows to construct an extension of the $R$-operator and the corresponding Yang-Baxter equation, which are of the difference type in one of the spectral parameters.''