Marginal deformations of field theories with AdS<sub>4</sub> duals
Jerome P. Gauntlett; Sangmin Lee; Toni Mateos; Daniel Waldram
Журнал:
Journal of High Energy Physics
Дата:
2005-08-01
Аннотация:
We generate new AdS<sub>4</sub> solutions of D = 11 supergravity starting from AdS<sub>4</sub> × X<sub>7</sub> solutions where X<sub>7</sub> has U(1)<sup>3</sup> isometry. We consider examples where X<sub>7</sub> is weak G<sub>2</sub>, 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<sub>7</sub> is M(3,2), Q(1,1,1) or N(1,1)<sub>I</sub> 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)<sub>I</sub> agrees with the conformal dimension predicted by the baryons of the dual field theory.
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