Moduli spaces of Chern-Simons quiver gauge theories

We analyse the classical moduli spaces of supersymmetric vacua of 3d N = 2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3d theory always contains a baryonic branch of a parent 4d N = 1 quiver gauge theory, where the 4d baryonic branch is determined by the vector of 3d Chern-Simons levels. In particular, starting with a 4d quiver theory dual to a 3-fold singularity, for certain general choices of Chern-Simons levels this branch of the moduli space of the corresponding 3d theory is a 4-fold singularity. Our results suggest a simple general method, using existing 4d techniques, for constructing candidate 3d N = 2 superconformal Chern-Simons quivers with AdS4 gravity duals. ∗ On leave from: Blackett Laboratory, Imperial College, London SW7 2AZ, U.K.