Algebraic Bethe ansatz for 19-vertex models with upper triangular K-matrices

By means of an algebraic Bethe ansatz approach, we study the Zamolodchikov-Fateev and Izergin-Korepin vertex models with non-diagonal boundaries, characterized by reflection matrices with an upper triangular form. Generalized Bethe vectors are used to diagonalize the associated transfer matrix. The...

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Bibliographic Details
Published in:Journal of statistical mechanics 2014-11, Vol.2014 (11), p.P11007-26
Main Authors: Pimenta, R A, Lima-Santos, A
Format: Article
Language:English
Subjects:
Algebra
Boundaries
Eigenvalues
Mathematical analysis
Mathematical models
Reflection
Statistical mechanics
Vectors (mathematics)
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Summary:By means of an algebraic Bethe ansatz approach, we study the Zamolodchikov-Fateev and Izergin-Korepin vertex models with non-diagonal boundaries, characterized by reflection matrices with an upper triangular form. Generalized Bethe vectors are used to diagonalize the associated transfer matrix. The eigenvalues as well as the Bethe equations are presented.
ISSN:1742-5468
1742-5468
DOI:10.1088/1742-5468/2014/11/P11007