The Bazhanov-Stroganov model from 3D approach

Gunter Von Gehlen, Stanislav Pakuliak, S Sergeev

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We apply a three-dimensional approach to describe a new parametrization of the L-operators for the two-dimensional Bazhanov–Stroganov (BS) integrable spin model related to the chiral Potts model. This parametrization is based on the solution of the associated classical discrete integrable system. Using a three-dimensional vertex satisfying a modified tetrahedron equation, we construct an operator which generalizes the BS quantum intertwining matrix \mathsf{S} . This operator describes the isospectral deformations of the integrable BS model.
Original languageEnglish
Pages (from-to)7269-7298
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number33
DOIs
Publication statusPublished - 19 Aug 2005
Externally publishedYes

Cite this

Von Gehlen, Gunter ; Pakuliak, Stanislav ; Sergeev, S. / The Bazhanov-Stroganov model from 3D approach. In: Journal of Physics A: Mathematical and General. 2005 ; Vol. 38, No. 33. pp. 7269-7298.
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The Bazhanov-Stroganov model from 3D approach. / Von Gehlen, Gunter; Pakuliak, Stanislav; Sergeev, S.

In: Journal of Physics A: Mathematical and General, Vol. 38, No. 33, 19.08.2005, p. 7269-7298.

Research output: Contribution to journalArticle

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AU - Pakuliak, Stanislav

AU - Sergeev, S

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N2 - We apply a three-dimensional approach to describe a new parametrization of the L-operators for the two-dimensional Bazhanov–Stroganov (BS) integrable spin model related to the chiral Potts model. This parametrization is based on the solution of the associated classical discrete integrable system. Using a three-dimensional vertex satisfying a modified tetrahedron equation, we construct an operator which generalizes the BS quantum intertwining matrix \mathsf{S} . This operator describes the isospectral deformations of the integrable BS model.

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