Journal
NUCLEAR PHYSICS B
Volume 889, Issue -, Pages 64-86Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2014.10.004
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Funding
- ESF
- Greek National Funds through the Operational Program Education and Lifelong Learning of the NSRF - Research Funding Program: Heracleitus II. Investing in knowledge in society through the European Social Fund
- European Social Fund (ESF)
- Actions de recherche concertees (ARC) de la Direction generale de l'Enseignement non obligatoire et de la Recherche scientifique - Direction de la Recherche scientifique - Communaute francaise de Belgique [AUWB-2010-10/15-UMONS-1]
- IISN-Belgium [convention 4.4511.06]
- EPSRC [EP/K014412/1]
- STFC [STFC-4070083442]
- Engineering and Physical Sciences Research Council [EP/K014412/1] Funding Source: researchfish
- Science and Technology Facilities Council [ST/L000490/1] Funding Source: researchfish
- EPSRC [EP/K014412/1] Funding Source: UKRI
- STFC [ST/L000490/1] Funding Source: UKRI
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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. (C) 2014 The Authors. Published by Elsevier B.V.
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