Charting the Conformal Manifold of Holographic CFT${}_2$'s

We construct new continuous families of ${\mathrm{A}\mathrm{d}\mathrm{S}}_3\times S^3\times {\mathrm{T}}^4$ and ${\mathrm{A}\mathrm{d}\mathrm{S}}_3\times S^3\times S^3\times S^1$ solutions in heterotic and type II supergravities. These families are found in three-dimensional consistent truncations and controlled by 17 parameters, which include TsT $\beta$ 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 $\mathrm{S}\mathrm{O}(8,8)$ ExFT can be embedded into ${\mathrm{E}}_{8(8)}$ ExFT.