Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End

Details Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End Spin Chains with Non-Diagonal Boundaries and Trigonometric SOS Model with Reflecting End

2010-11-02

arxiv.org/abs/1011.0660v2

SIGMA 7:012,2011

Physics

Mathematical Physics

based on a talk given at RAQIS'10, Recent Advances in Quantum Integrable Systems, Annecy-le-Vieux, France, 15-18 June 2010

Scientific paper

10.3842/SIGMA.2011.012

In this paper we consider two a priori very different problems: construction of the eigenstates of the spin chains with non parallel boundary magnetic fields and computation of the partition function for the trigonometric solid-on-solid (SOS) model with one reflecting end and domain wall boundary conditions. We show that these two problems are related through a gauge transformation (so-called vertex-face transformation) and can be solved using the same dynamical reflection algebras.

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