This article is cited in 16 papers

Auxiliary transfer matrices for three-dimensional integrable models

S. M. Sergeev

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

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.

Received: 24.01.2000

DOI: 10.4213/tmf646

 English version: Theoretical and Mathematical Physics, 2000, 124:3, 1187–1201

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