Three Dimensional SCFT from M2 Branes at Conifold Singularities

Recently it was conjectured that parallel branes at conical singularities are related to string/M theory on AdS×X where X is an Einstein manifold. In this paper we consider coincident M2 branes near a conifold singularity when M theory is compactified on AdS4×Q for Q = (SU(2)×SU(2)× SU(2))/(U(1)× U(1)) as a seven dimensional Sasaki-Einstein manifold. We argue that M theory on AdS4 × Q can be described in terms of a three dimensional superconformal field theory. We use the fact that the three dimensional self-mirror duality is preserved by exact marginal operators, as observed by Strassler.