Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 27, Issue 23, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/27/23/235013
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Funding
- DOE [DE-FG03-84ER-40168]
- DSM CEA-Saclay
- ANR [BLAN 06-3-137168, JCJC ERCS07-12]
- Marie Curie IRG [046430]
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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 11 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) x U(1) gauged N = 2 supergravity theory coupled to one hypermultiplet.
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