Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-06-13
Class.Quant.Grav.27:235013,2010
Physics
High Energy Physics
High Energy Physics - Theory
46 pages
Scientific paper
10.1088/0264-9381/27/23/235013
Motivated by the recent use of certain consistent truncations of M-theory to study condensed matter physics using holographic techniques, we study the SU(3)-invariant sector of four-dimensional, N=8 gauged supergravity and compute the complete scalar spectrum at each of the five non-trivial critical points. We demonstrate that the smaller SU(4)^- sector is equivalent to a consistent truncation studied recently by various authors and find that the critical point in this sector, which has been proposed as the ground state of a holographic superconductor, is unstable due to a family of scalars that violate the Breitenlohner-Freedman bound. We also derive the origin of this instability in eleven dimensions and comment on the generalization to other embeddings of this critical point which involve arbitrary Sasaki-Einstein seven manifolds. In the spirit of a resurging interest in consistent truncations, we present a formal treatment of the SU(3)-invariant sector as a U(1)xU(1) gauged N=2 supergravity theory coupled to one hypermultiplet.
Bobev Nikolay
Halmagyi Nick
Pilch Krzysztof
Warner Nicholas P.
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