On d = 4, 5, 6 vacua with eight supercharges

Abstract

We show how all known N = 2, d = 4, 5, 6 maximally supersymmetric vacua (Hpp-waves and aDS × S solutions) are related through dimensional reduction/oxidation preserving all the unbroken supersymmetries. In particular, we show how the N = 2, d = 5 family of vacua (which are the near-horizon geometry of supersymmetric rotating black holes) interpolates between aDS2 × S3 and aDS3 × S2 in parameter space and how it can be dimensionally reduced to an N = 2, d = 4 dyonic Robinson–Bertotti solution with geometry aDS2 × S2 and oxidized to an N = 2, d = 6 solution with aDS3 × S3 geometry (which is the near-horizon limit of the self-dual string).