N = 2 solutions of massive type IIA and their Chern-Simons duals

Abstract

We find explicit AdS 4 solutions of massive type IIA with N = 2 supersymmetry obtained deforming with a Roman mass the type IIA supersymmetric reduction of the M theory background AdS 4 × M 111. The family of solutions have SU(3) × SU(3) structure and isometry SU(3) × U(1) 2. They are conjectured to be dual to three-dimensional N = 2 Chern-Simons theories with generic Chern-Simons couplings and gauge group ranks. © SISSA 2009.