Warped-AdS${}_3$ Near-Horizon Geometries From TsT Transformations

We provide a string theory realisation of a two-parameter family of Type IIB supergravity solutions of the form ${\mathrm{W}\mathrm{A}\mathrm{d}\mathrm{S}}_3\times {\mathrm{W}\mathrm{S}}^3\times M_4$, as near-horizon geometries of supersymmetric backgrounds involving D1-D5 branes, D3-branes and NS5-branes. We show that the full solutions, as well as their near-horizon limits, preserve four supercharges. We end by presenting a new doubly-deformed warped black hole solution and study its thermodynamical properties.