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

Abstract

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.

12 Pages, 1 figure, references added

References in corpus (3)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Comments on the Bagger-Lambert theory and multiple M2-branes

Cited by in corpus (6)

• Topological branes, p-algebras and generalized Nahm equations
• A note on the reduction of the AdS4 x CP3 string sigma model
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Near Flat Space limit of strings on AdS_4 x CP^3
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory