Integrable $\lambda$-deformations: Squashing Coset CFTs and $Ad{S}_5\times S^5$

We examine integrable $\lambda$-deformations of $SO(n+1)\mathrm{/}SO(n)$ coset CFTs and their analytic continuations. We provide an interpretation of the deformation as a squashing of the corresponding coset $\sigma$-model’s target space. We realise the $\lambda$-deformation for $n=5$ case as a solution to supergravity supported by non-vanishing five-form and dilaton. This interpolates between the coset CFT $SO(4,2)\mathrm{/}SO(4,1)\times SO(6)\mathrm{/}SO(5)$ constructed as a gauged WZW model and the non-Abelian T-dual of the $Ad{S}_5\times S^5$ spacetime.