Abstract: There has been considerable interest recently in the relation between certain 3d supersymmetric Chern-Simons theories, M2-branes, and the AdS_4/CFT_3 correspondence. In this talk I will show that the moduli space of a 3d N=2 Chern-Simons quiver gauge theory always contains a certain branch of the moduli space of a parent 4d N=1 quiver gauge theory. In particular, starting with a 4d quiver theory dual to a Calabi-Yau 3-fold singularity, for certain general choices of Chern-Simons levels this branch of the corresponding 3d theory is a Calabi-Yau 4-fold singularity. This leads to a simple general method for constructing candidate 3d N=2 superconformal Chern-Simons quivers with AdS_4 gravity duals. As simple, but non-trivial, examples, I will identify a family of Chern-Simons quiver gauge theories which are candidate AdS_4/CFT_3 duals to an infinite class of toric Sasaki-Einstein seven-manifolds with explicit metrics.
