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Marginal deformations of field theories with AdS4 duals

Jerome P. Gauntlett1, Sangmin Lee1, Toni Mateos1 and Daniel Waldram1

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We generate new AdS4 solutions of D = 11 supergravity starting from AdS4 × X7 solutions where X7 has U(1)3 isometry. We consider examples where X7 is weak G2, Sasaki-Einstein or tri-Sasakian, corresponding to d = 3 SCFTs with Script N = 1,2 or 3 supersymmetry, respectively, and where the deformed solutions preserve Script N = 1,2 or 1 supersymmetry, respectively. For the special cases when X7 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.

Keywords

M-Theory

Superstring Vacua

AdS-CFT and dS-CFT Correspondence

D-branes

 

E-print Number: hep-th/0505207

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

04.65.+e Supergravity

11.30.Pb Supersymmetry

04.50.-h Higher-dimensional gravity and other theories of gravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 08 (August 2005)

Received 5 July 2005, accepted for publication 25 July 2005

Published 8 August 2005



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