The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
In: Nuclear Physics B, Jg. 889 (2014), Heft C, S. 64-86
Online
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Zugriff:
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.
1+32 pages, Latex, v2: few minor changes, NPB version, v3: A factor of two corrected in (A.22)
| Titel: |
The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
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| Autor/in / Beteiligte Person: | Siampos, Konstantinos ; Itsios, Georgios ; Torrielli, Alessandro ; Sfetsos, Konstantinos |
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| Zeitschrift: | Nuclear Physics B, Jg. 889 (2014), Heft C, S. 64-86 |
| Veröffentlichung: | Elsevier BV, 2014 |
| Medientyp: | unknown |
| ISSN: | 0550-3213 (print) |
| DOI: | 10.1016/j.nuclphysb.2014.10.004 |
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