Marginal Deformations of Field Theories with AdS_4 Duals
High Energy Physics - Theory
2009-11-11 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0505207,
title = {Marginal Deformations of Field Theories with AdS_4 Duals},
author = {Jerome P. Gauntlett and Sangmin Lee and Toni Mateos and Daniel Waldram},
journal= {arXiv preprint arXiv:hep-th/0505207},
year = {2009}
}
Comments
28 pages, 2 figures; v2. typos corrected