New AdS(formula presented.)supersymmetry

Abstract: It is well known that Hopf-fibre T-duality and uplift takes the D1-D5 near-horizon into a class of AdS₃ × S² geometries in 11D where the internal space is a Calabi-Yau three-fold. Moreover, supersymmetry dictates that Calabi-Yau is the only permissible SU(3)-structure manifold. Generalising this duality chain to non-Abelian isometries, a strong parallel exists, resulting in the first explicit example of a class of AdS₃×S² geometries with SU(2)-structure. Furthermore, the non-Abelian T-dual of AdS₃×S³×S³×S¹ results in a new supersymmetric AdS₃ × S² geometry, which falls outside of all known classifications. We explore the basic properties of the holographic duals associated to the new backgrounds. We compute the central charges and show that they are compatible with a large N=4$$ \mathcal{N}=4 $$ superconformal algebra in the infra-red.