Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
arXiv:1006.2546 · doi:10.1088/0264-9381/27/23/235013
Abstract
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.
46 pages
References in corpus (13)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Building an AdS/CFT superconductor
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Holographic superconductivity in M-Theory
- Superconductors from Superstrings
- CFT Duals for Extreme Black Holes
- Consistent supersymmetric Kaluza--Klein truncations with massive modes
- The gravity dual to a quantum critical point with spontaneous symmetry breaking
- Automation of the matrix element reweighting method
- AdS_4/CFT_3 -- Squashed, Stretched and Warped
- Nonperturbative Instability of AdS_5 x S^5/Z_k
- Holographic, N=1 Supersymmetric RG Flows on M2 Branes
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- Fermions and D=11 Supergravity On Squashed Sasaki-Einstein Manifolds
- Metastable supersymmetry breaking in extended supergravity
- Dual Instantons in Anti-membranes Theory