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

Pascal Baseilhac (1) , Samuel Belliard (2)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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 Drinfeld-Jimbo 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 $U_q(gl_2)-$invariant integrable boundary conditions.

Mots clés: Open XXZ spin chain; Coideal subalgebras; Non-Abelian symmetry; Quantum integrable models

Domaines: Physique mathématique [math-ph]; Algèbres quantiques [math.QA]

Pascal Baseilhac, Samuel Belliard. Non-Abelian symmetries of the half-infinite XXZ spin chain. 2016. ⟨hal-01398682⟩