Bethe ansatz for the three-layer Zamolodchikov model

H. E. Boos; V. Mangazeev V

doi:10.1088/0305-4470/32/28/308

Bethe ansatz for the three-layer Zamolodchikov model

H. E. Boos^*, V. Mangazeev V

^*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

This paper is a continuation of our previous work (Boos H E and Mangazeev V V 1999 J. Phys. A: Math. Gen. 32 3041-54). We obtain two more functional relations for the eigenvalues of the transfer matrices for the sl (3) chiral Potts model at q² = -1. This model, up to a modification of boundary conditions, is equivalent to the three-layer three-dimensional Zamolodchikov model. From these relations we derive the Bethe ansatz equations.

Original language	English
Pages (from-to)	5285-5298
Number of pages	14
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	28
DOIs	https://doi.org/10.1088/0305-4470/32/28/308
Publication status	Published - 16 Jul 1999

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title = "Bethe ansatz for the three-layer Zamolodchikov model",

abstract = "This paper is a continuation of our previous work (Boos H E and Mangazeev V V 1999 J. Phys. A: Math. Gen. 32 3041-54). We obtain two more functional relations for the eigenvalues of the transfer matrices for the sl (3) chiral Potts model at q2 = -1. This model, up to a modification of boundary conditions, is equivalent to the three-layer three-dimensional Zamolodchikov model. From these relations we derive the Bethe ansatz equations.",

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AU - Mangazeev V, V.

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N2 - This paper is a continuation of our previous work (Boos H E and Mangazeev V V 1999 J. Phys. A: Math. Gen. 32 3041-54). We obtain two more functional relations for the eigenvalues of the transfer matrices for the sl (3) chiral Potts model at q2 = -1. This model, up to a modification of boundary conditions, is equivalent to the three-layer three-dimensional Zamolodchikov model. From these relations we derive the Bethe ansatz equations.

AB - This paper is a continuation of our previous work (Boos H E and Mangazeev V V 1999 J. Phys. A: Math. Gen. 32 3041-54). We obtain two more functional relations for the eigenvalues of the transfer matrices for the sl (3) chiral Potts model at q2 = -1. This model, up to a modification of boundary conditions, is equivalent to the three-layer three-dimensional Zamolodchikov model. From these relations we derive the Bethe ansatz equations.

UR - https://www.scopus.com/pages/publications/0040631645

U2 - 10.1088/0305-4470/32/28/308

DO - 10.1088/0305-4470/32/28/308

M3 - Article

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EP - 5298

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 28

ER -

Bethe ansatz for the three-layer Zamolodchikov model

Abstract

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