The classical Yang-Baxter equation and the associated Yangian symmetry   of gauged WZW-type theories
  We construct the Lax-pair, the classical monodromy matrix and the corresponding solution of the Yang--Baxter equation, for a two-parameter deformation of the Principal chiral model for a simple group. This deformation includes as a one-parameter subset, a class of integrable gauged WZW-type theories interpolating between the WZW model and the non-Abelian T-dual of the principal chiral model. We derive in full detail the Yangian algebra using two independent methods: by computing the algebra of the non-local charges and alternatively through an expansion of the Maillet brackets for the monodromy matrix. As a byproduct, we also provide a detailed general proof of the Serre relations for the Yangian symmetry. 
Georgios Itsios, Konstantinos Sfetsos, Konstantinos Siampos,   Alessandro Torrielli
hep-th math-ph math.MP nlin.SI