Partition function of the trigonometric SOS model with reflecting end

Details Partition function of the trigonometric SOS model with reflecting end Partition function of the trigonometric SOS model with reflecting end

2010-04-07

arxiv.org/abs/1004.1015v2

Journal of Statistical Mechanics: Theory and Experiment (2010) L06001

Physics

Mathematical Physics

13 pages, improved version

Scientific paper

10.1088/1742-5468/2010/06/L06001

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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