Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable σ -model

Delduc, F. (Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342, Lyon, France) ; Hoare, B.  (Institut für Theoretische Physik, Eidgenössische Technische Hochschule Zürich, Wolfgang-Pauli-Strasse 27, 8093, Zürich, Switzerland) ; Kameyama, T. (Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342, Lyon, France) ; Magro, M. (Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, F-69342, Lyon, France)

02 December 2017

Abstract: A multi-parameter integrable deformation of the principal chiral model is presented. The Yang-Baxter and bi-Yang-Baxter σ -models, the principal chiral model plus a Wess-Zumino term and the TsT transformation of the principal chiral model are all recovered when the appropriate deformation parameters vanish. When the Lie group is SU(2), we show that this four-parameter integrable deformation of the SU(2) principal chiral model corresponds to the Lukyanov model.


Published in: JHEP 1710 (2017) 212
Published by: Springer/SISSA
DOI: 10.1007/JHEP10(2017)212
arXiv: 1707.08371
License: CC-BY-4.0



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