AdS4/CFT3 duals from M2-branes at hypersurface singularities and their deformations

We construct three-dimensional N = 2 Chern-Simons-quiver theories which are holographically dual to the M-theory Freund-Rubin solutions AdS(4) x V-5,V-2/Z(k) (with or without torsion G-flux), where V-5,V-2 is a homogeneous Sasaki-Einstein seven-manifold. The global symmetry group of these theories is generically SU(2) x U(1) x U(1) R, and they are hence non-toric. The field theories may be thought of as the n = 2 member of a family of models, labelled by a positive integer n, arising on multiple M2-branes at certain hypersurface singularities. We describe how these models can be engineered via generalized Hanany-Witten brane constructions. The AdS(4) x V-5,V-2/Z(k) solutions may be deformed to a warped geometry R-1,R-2 x T*S-4/Z(k), with self-dual G-flux through the four-sphere. We show that this solution is dual to a supersymmetric mass deformation, which precisely modifies the classical moduli space of the field theory to the deformed geometry.