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

Physics – High Energy Physics – High Energy Physics - Theory

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12 Pages, 1 figure, references added

Scientific paper

10.1088/1126-6708/2008/10/057

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-Kaehler 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.

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