The Bazhanov-Stroganov model from 3D approach

G. Von Gehlen; S. Pakuliak; S. Sergeev

doi:10.1088/0305-4470/38/33/005

The Bazhanov-Stroganov model from 3D approach

G. Von Gehlen^*, S. Pakuliak, S. Sergeev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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 . This operator describes the isospectral deformations of the integrable BS model.

Original language	English
Pages (from-to)	7269-7298
Number of pages	30
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	33
DOIs	https://doi.org/10.1088/0305-4470/38/33/005
Publication status	Published - 19 Aug 2005

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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 . This operator describes the isospectral deformations of the integrable BS model.",

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year = "2005",

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T1 - The Bazhanov-Stroganov model from 3D approach

AU - Von Gehlen, G.

AU - Pakuliak, S.

AU - Sergeev, S.

PY - 2005/8/19

Y1 - 2005/8/19

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 . This operator describes the isospectral deformations of the integrable BS model.

AB - 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 . This operator describes the isospectral deformations of the integrable BS model.

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U2 - 10.1088/0305-4470/38/33/005

DO - 10.1088/0305-4470/38/33/005

M3 - Article

SN - 0305-4470

VL - 38

SP - 7269

EP - 7298

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 33

ER -

The Bazhanov-Stroganov model from 3D approach

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