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Higher-rank generalization of the 11-vertex rational -matrix: IRF–vertex relations and the associative Yang–Baxter equation

Atalikov, K. R. ; Zotov, A. V.

Theoretical and mathematical physics, 2023, Vol.216 (2), p.1083-1103 [Periódico revisado por pares]

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Título:
Higher-rank generalization of the 11-vertex rational -matrix: IRF–vertex relations and the associative Yang–Baxter equation
Autor: Atalikov, K. R. ; Zotov, A. V.
Assuntos: 14/34 ; 639/766/189 ; 639/766/530 ; 639/766/747 ; Applications of Mathematics ; Identities ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Theoretical
É parte de: Theoretical and mathematical physics, 2023, Vol.216 (2), p.1083-1103
Descrição: We study the rational -matrix, which turns into the -vertex -matrix in the case. First, we describe its relations to dynamical and semidynamical -matrices using the IRF– vertex type transformations. As a by-product, a new explicit form of the -matrix is derived. Next, we prove the quantum and the associative Yang–Baxter equations. A set of other -matrix properties and -matrix identities are also proved.
Editor: Moscow: Pleiades Publishing
Idioma: Inglês

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