Non-Abelian symmetries of the half-infinite XXZ spin chain

Pascal Baseilhac; Samuel Belliard

doi:10.1016/j.nuclphysb.2017.01.012

paper

Non-Abelian symmetries of the half-infinite XXZ spin chain

arXiv:1611.05390 · doi:10.1016/j.nuclphysb.2017.01.012

Abstract

The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an analog of the Chevalley-type presentation is given for the corresponding symmetry algebra. In particular, two new algebras arise that are, respectively, generated by the symmetry operators of the model with triangular and special $U_{q} (g l_{2}) -$ invariant integrable boundary conditions.

11 pages