Spin Chains with NonDiagonal Boundaries and Trigonometric SOS Model with Reflecting End
Abstract
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 solidonsolid (SOS) model with one reflecting end and domain wall boundary conditions. We show that these two problems are related through a gauge transformation (socalled vertexface transformation) and can be solved using the same dynamical reflection algebras.
 Publication:

SIGMA
 Pub Date:
 January 2011
 DOI:
 10.3842/SIGMA.2011.012
 arXiv:
 arXiv:1011.0660
 Bibcode:
 2011SIGMA...7..012F
 Keywords:

 algebraic Bethe ansatz;
 spin chains;
 dynamical reflection algebra;
 SOS models;
 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Quantum Algebra;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 based on a talk given at RAQIS'10, Recent Advances in Quantum Integrable Systems, AnnecyleVieux, France, 1518 June 2010