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Partition function of the trigonometric SOS model with reflecting end

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arxiv 1004.1015 v2 pith:WYOIFZTQ submitted 2010-04-07 math-ph hep-thmath.MP

Ghali Filali (LPTM) , Nikolai Kitanine (IMB) This is my paper · ORCID
classification math-phhep-thmath.MP
keywords functionmodelpartitionboundaryreflectingtrigonometricbethecase
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We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms.

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Cited by 1 Pith paper

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  1. The $q$-Racah polynomials from scalar products of Bethe states II

    math-ph 2025-01 conditional novelty 6.0 of 10

    The paper derives normalized scalar products of on-shell and off-shell Bethe states using Leonard triples, obtains explicit solutions of Belliard-Slavnov systems, and gives a determinant formula for q-Racah polynomials.

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