Auxiliary transfer matrices for three-dimensional integrable models

S. M. Sergeev

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We formulate the local combinatorial method for constructing the complete set of operators that commute with the transfer matrix of the Zamolodchikov-Bazhanov Baxter model in the vertex formulation. We find the compact functional equation satisfied by the generating functional of this complete set of operators.

Original languageEnglish
Pages (from-to)1187-1201
Number of pages15
JournalTheoretical and Mathematical Physics
Volume124
Issue number3
Publication statusPublished - Sep 2000
Externally publishedYes

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Integrable Models
three dimensional models
Transfer Matrix
operators
Three-dimensional
Commute
Operator
Functional equation
apexes
formulations
Formulation
Vertex of a graph
Model

Cite this

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Auxiliary transfer matrices for three-dimensional integrable models. / Sergeev, S. M.

In: Theoretical and Mathematical Physics, Vol. 124, No. 3, 09.2000, p. 1187-1201.

Research output: Contribution to journalArticle

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AB - We formulate the local combinatorial method for constructing the complete set of operators that commute with the transfer matrix of the Zamolodchikov-Bazhanov Baxter model in the vertex formulation. We find the compact functional equation satisfied by the generating functional of this complete set of operators.

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