Type-II backgrounds from deformed coset CFTs

We construct a plethora of type-II supergravity solutions featuring AdS factors in their geometries, derived from integrable deformations of coset CFTs. Specifically, we uplift the $λ$-deformed models of $SO(4)_k/SO(3)_k$ and $SO(5)_k/SO(4)_k$, including the non-compact version of the latter. Requiring reality for the backgrounds imposes bounds on the deformation parameter. As a result, some of the solutions do not admit non-Abelian T-dual limit.