Asymmetric $\lambda$-deformed cosets

Abstract

We study the integrable asymmetric $\lambda$-deformations of the $SO(n+1)/SO(n)$ coset models, following the prescription proposed in \cite{AsyLambda}. We construct all corresponding deformed geometries in an inductive way. Remarkably we find a $Z_2$ transformation which maps the asymmetric $\lambda$--deformed models to the symmetric $\lambda$--deformed models.

arXiv comment23 pages ver2 references added

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• $\lambda$-deformed $Ad{S}_5\times S^5$ superstring from 4D Chern-Simons theory