Near-horizon geometry from flux compactification

We study the conditions an arbitrary flux configuration must fulfill in order to construct a 4d space-time of the type AdS₂×S² from a type IIB supergravity flux compactification in which Neveu-Schwarz-Neveu-Schwarz (NS-NS) fluxes are included. We present a solution consisting on a compactification in the presence of 3-form NS-NS andRamond-Ramond (RR) fluxes. The internal manifold is a SU(3) structure six-dimensional manifold, with null curvature and with torsion. By preserving two supersymmetries in the four-dimensional low energy theory, we find a way to obtain the AdS₂×S² geometry as a near-horizon solution by compactification in non-Calabi-Yau manifolds.