Spinorial R-matrix
D. Chicherin, S. Derkachov, and A. P. Isaev
TL;DR
This paper thoroughly analyzes the R-matrix in spinor representation spaces of so(d), proves the Yang-Baxter equation, and explores its relation to the local Yang-Baxter relation, advancing understanding of integrable models.
Contribution
It introduces a detailed study of the spinorial R-matrix for so(d) and establishes its fundamental properties, including the Yang-Baxter equation and local relation.
Findings
Proved the Yang-Baxter equation for the spinorial R-matrix.
Established the relation to the local Yang-Baxter relation.
Provided a comprehensive analysis of the R-matrix in spinor spaces.
Abstract
R-matrix acting in the tensor product of two spinor representation spaces of Lie algebra so(d) is considered thoroughly. Corresponding Yang-Baxter equation is proved. The relation to the local Yang-Baxter relation is established.
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