Charting the Conformal Manifold of Holographic CFT₂'s

We construct new continuous families of AdS₃× S³× T⁴ and AdS₃× S³× S³× S¹ solutions in heterotic and type II supergravities. These families are found in three-dimensional consistent truncations and controlled by 17 parameters, which include TsT β deformations and encompass several supersymmetric sub-families. The different uplifts are constructed in a unified fashion by means of Exceptional Field Theory (ExFT). This allows the computation of the Kaluza-Klein spectra around the deformations, to test the stability of the solutions, and to interpret them holographically and as worldsheet models. To achieve this, we describe how the half-maximal SO(8,8) ExFT can be embedded into E₈₍₈₎ ExFT.