Classification of supersymmetric flux vacua in M-theory Original Research Article

We present a comprehensive classification of supersymmetric vacua of M-theory compactification on seven-dimensional manifolds with general four-form fluxes. We analyze the cases where the resulting four-dimensional vacua have image supersymmetry and the internal space allows for image, image or G2 structures. In particular, we find for image supersymmetry, that the external space–time is Minkowski and the base manifold of the internal space is conformally Kähler for image structures, while for image structures the internal space has to be Einstein–Sasaki and no internal fluxes are allowed. Moreover, we provide a new vacuum with image supersymmetry and image structure, where all fluxes are non-zero and the first order differential equations are solved.