A simple class of N = 3 gauge/gravity duals

Abstract

We find the gravity duals to an infinite series of N = 3 Chern-Simons quiver theories. They are AdS 4 × M 7 vacua of M-theory, with M 7 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 M 7 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. © 2008 SISSA.