Three-parameter integrable deformation of Z_4 permutation supercosets

Understand

A three-parameter integrable deformation of $\mathbb{Z}_4$ permutation supercosets is constructed.

• These supercosets are of the form $ {\widehat{F}} / {F_0}$ where $F_0$ is the bosonic diagonal subgroup of the product supergroup $\widehat{F}=\widehat{G} \times \widehat{G}$.
• They include the AdS$_3$ $\times$ S$^3$ and AdS$_3$ $\times$ S$^3$ $\times$ S$^3$ supercosets.
• This deformation encompasses both the bi-Yang-Baxter deformation of the semi-symmetric space $\sigma$-model on $\mathbb{Z}_4$ permutation supercosets and the mixed flux model.