Gauged N=3, D=4 supergravity: A new web of marginally connected vacua

We analyze the vacuum structure of N=3,D=4 supergravity coupled to 9 vector multiplets with gauge group SO(3)×SU(3). Aside from the central N=3 AdS4 vacuum at the origin, on which the supermultiplet structure reproduces the massless sector of M-theory compactified on N0,1,0, we find a rich structure of AdS4 vacua preserving N=0,1,2,3 supersymmetry. These new vacua are arranged in a manifold spanned by scalar fields corresponding to exactly marginal deformations of the dual CFT. This manifold has the form T3/K, where K is a discrete subgroup of the gauge group: N=3,2 and 1 vacua correspond, respectively, to a point, a line and a surface in the three-dimensional vacuum manifold. We study RG flows from the central N=3 vacuum and elaborate on the possible higher dimensional origin of the new vacua. For the reader's convenience we also provide a review of the embedding tensor formulation of D=4, N=3 gauged supergravities. In particular we provide formulas involving the fermion shift tensors and mass matrices in N=3 theories, which can be applied to a generic gauging.