Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q2 = -1

H. E. Boos; V. V. Mangazeev

doi:10.1088/0305-4470/32/16/012

Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q² = -1

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

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q² = -1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe ansatz-like equations. In addition, a direct nested Bethe ansatz has also been developed for this case.

Original language	English
Pages (from-to)	3041-3054
Number of pages	14
Journal	Journal of Physics A: Mathematical and General
Volume	32
Issue number	16
DOIs	https://doi.org/10.1088/0305-4470/32/16/012
Publication status	Published - 23 Apr 1999

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title = "Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q2 = -1",

abstract = "We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q2 = -1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe ansatz-like equations. In addition, a direct nested Bethe ansatz has also been developed for this case.",

author = "Boos, \{H. E.\} and Mangazeev, \{V. V.\}",

year = "1999",

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TY - JOUR

T1 - Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q2 = -1

AU - Boos, H. E.

AU - Mangazeev, V. V.

PY - 1999/4/23

Y1 - 1999/4/23

N2 - We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q2 = -1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe ansatz-like equations. In addition, a direct nested Bethe ansatz has also been developed for this case.

AB - We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q2 = -1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe ansatz-like equations. In addition, a direct nested Bethe ansatz has also been developed for this case.

UR - https://www.scopus.com/pages/publications/0033597017

U2 - 10.1088/0305-4470/32/16/012

DO - 10.1088/0305-4470/32/16/012

M3 - Article

SN - 0305-4470

VL - 32

SP - 3041

EP - 3054

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 16

ER -

Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q² = -1

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