Partition function of the trigonometric SOS model with reflecting end

Abstract : 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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Contributor : Nikolai Kitanine <>
Submitted on : Sunday, May 16, 2010 - 7:06:32 PM
Last modification on : Wednesday, April 17, 2019 - 2:56:14 PM
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Ghali Filali, Nikolai Kitanine. Partition function of the trigonometric SOS model with reflecting end. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2010, pp.L06001. ⟨10.1088/1742-5468/2010/06/L06001⟩. ⟨hal-00470173v2⟩

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