Supergravity realisations of $λ$-models

Abstract

We construct solutions of type-II supergravity based on multiple copies and/or mixings of $λ$-deformed coset CFTs on $\mathrm{SO}(n+1)_k/\mathrm{SO}(n)_k$, with $n = 2, 3, 4$. The resulting ten-dimensional geometries contain undeformed $\mathrm{AdS}$ factors, thereby allowing a connection between $λ$-deformations and the AdS/CFT correspondence. Imposing reality conditions on the solutions further constrains the deformation parameter. In some cases these bounds exclude the undeformed ($λ= 0$) or non-Abelian T-dual ($λ\to 1$) limits. This work extends the results of 1911.12371 and 2411.11086.