Marginal Deformations of Field Theories with AdS_4 Duals

Details Marginal Deformations of Field Theories with AdS_4 Duals Marginal Deformations of Field Theories with AdS_4 Duals

2005-05-23

arxiv.org/abs/hep-th/0505207v2

JHEP 0508 (2005) 030

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 2 figures; v2. typos corrected

Scientific paper

10.1088/1126-6708/2005/08/030

We generate new AdS_4 solutions of D=11 supergravity starting from AdS_4 x X_7 solutions where X_7 has U(1)^3 isometry. We consider examples where X_7 is weak G_2, Sasaki-Einstein or tri-Sasakian, corresponding to d=3 SCFTs with N=1,2 or 3 supersymmetry, respectively, and where the deformed solutions preserve N=1,2 or 1 supersymmetry, respectively. For the special cases when X_7 is M(3,2), Q(1,1,1) or N(1,1)_I we identify the exactly marginal deformation in the dual field theory. We also show that the volume of supersymmetric 5-cycles of N(1,1)_I agrees with the conformal dimension predicted by the baryons of the dual field theory.

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