Supergravity dual of Chern-Simons Yang-Mills theory with N = 6, 8 superconformal IR fixed point

We construct a solution of eleven dimensional supergravity corresponding to a stack of M2 branes localized at the center of a particular eight dimensional hyper-Kahler manifold constructed by Gauntlett, Gibbons, Papadopoulos, and Townsend, generalizing the earlier construction of Cherkis and Hashimoto. In the decoupling limit, this solution is dual to a Chern-Simons/Yang-Mills/Matter theory in 2+1 dimensions with N = 3 supersymmetry, which flows in the infra red to a superconformal Chern-Simons/Matter system preserving N = 6, 8 supersymmetry, constructed recently by Aharony, Bergman, Jafferis, and Maldacena.