Solution of tetrahedron equation and cluster algebras

Solution of tetrahedron equation and cluster algebras

Abstract We notice a remarkable connection between the Bazhanov-Sergeev solution of Zamolodchikov tetrahedron equation and certain well-known cluster algebra expression. The tetrahedron transformation is then identified with a sequence of four mutations. As an application of the new formalism, we sh...

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Bibliographic Details
Main Authors: P. Gavrylenko, M. Semenyakin, Y. Zenkevich
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of High Energy Physics
Subjects:
Integrable Hierarchies
Lattice Integrable Models
Quantum Groups
Online Access:https://doi.org/10.1007/JHEP05(2021)103

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