Mink4 × S2 solutions of 10 and 11 dimensional supergravity

Abstract

Abstract We complete the classification of Mink4 solutions preserving N = 2 supersymmetry and SU(2) R-symmetry parameterised by a round S 2 factor. We consider elevendimensional supergravity and relax the assumptions of earlier works in type II theories. We show that, using chains of dualities, all solutions of this type can be generated from one of two master classes: an SU(2)-structure in M-theory and a conformal Calabi-Yau in type IIB. Finally, using our results, we recover AdS5 × S 2 solutions in M-theory and construct a compact Minkowski solution with Atiyah-Hitchin singularity.