Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-05
JHEP 0702:008,2007
Physics
High Energy Physics
High Energy Physics - Theory
45 pages; v2 minor corrections, Section 8 revised, an appendix and references added; v3 expanded discussion of one- and two-po
Scientific paper
10.1088/1126-6708/2007/02/008
We use fake supergravity as a solution generating technique to obtain a continuum of non-supersymmetric asymptotically $AdS_4\times S^7$ domain wall solutions of eleven-dimensional supergravity with non-trivial scalars in the $SL(8,\mathbb{R})/SO(8)$ coset. These solutions are continuously connected to the supersymmetric domain walls describing a uniform sector of the Coulomb branch of the $M2$-brane theory. We also provide a general argument that under certain conditions identifies the fake superpotential with the exact large-N quantum effective potential of the dual theory, describing a marginal multi-trace deformation. This identification strongly motivates further study of fake supergravity as a solution generating method and it allows us to interpret our non-supersymmetric solutions as a family of marginal triple-trace deformations of the Coulomb branch that completely break supersymmetry and to calculate the exact large-N anomalous dimensions of the operators involved. The holographic one- and two-point functions for these solutions are also computed.
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