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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Itsios, Georgios, Sfetsos, Konstantinos, Siampos, Konstantinos, Torrielli, Alessandro
Άλλοι συγγραφείς: Ίτσιος, Γεώργιος
Μορφή: Journal (paper)
Γλώσσα:English
Έκδοση: 2018
Θέματα:
Διαθέσιμο Online:http://dx.doi.org/10.1016/j.nuclphysb.2014.10.004
http://hdl.handle.net/10889/11476
Περιγραφή
Περίληψη: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.