ar X iv : 0 80 8 . 08 64 v 1 [ he p - th ] 6 A ug 2 00 8 A simple class of N = 3 gauge / gravity duals

We find the gravity duals to an infinite series of N = 3 Chern–Simons quiver theories. They are AdS4 ×M7 vacua of M–theory, with M7 in a certain class of 3–Sasaki–Einstein manifolds obtained by a quotient construction. The field theories can be engineered from a brane configuration; their geometry is summarized by a “hyperKähler toric fan” that can be read off easily from the relative angles of the branes. The singularity at the tip of the cone over M7 is generically not an orbifold. The simplest new manifolds we consider can be written as the biquotient U(1)\U(3)/U(1). We also comment on the relation between our theories and four–dimensional N = 1 theories with the same quiver.