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

Francois Delduc (1) , Ben Hoare , Takashi Kameyama (1) , Marc Magro (1)

1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon

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.

Mots clés: Integrable Field Theories; Sigma Models; model: chiral; group: SU(2); group: Lie; deformation; integrability; Wess-Zumino term; sigma model; Yang-Baxter

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Francois Delduc, Ben Hoare, Takashi Kameyama, Marc Magro. Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable $\sigma$-model. Journal of High Energy Physics, 2017, 10, pp.212. ⟨10.1007/JHEP10(2017)212⟩. ⟨hal-01669656⟩