Three-parameter integrable deformation of ℤ 4 permutation supercosets

Abstract

Abstract A three-parameter integrable deformation of ℤ 4 permutation supercosets is constructed. These supercosets are of the form F ^ / F 0 $$ \widehat{F}/{F}_0 $$ where F 0 is the bosonic diagonal subgroup of the product supergroup F ^ = G ^ × G ^ $$ \widehat{F}=\widehat{G}\times \widehat{G} $$ . They include the AdS3 × S3 and AdS3 × S3 × S3 supercosets. This deformation encompasses both the bi-Yang-Baxter deformation of the semi-symmetric space σ-model on ℤ 4 permutation supercosets and the mixed flux model. Truncating the action at the bosonic level, we show that one recovers the bi-Yang-Baxter deformation of the principal chiral model plus Wess-Zumino term.

Keywords

• Integrable Field Theories
• Sigma Models