Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points

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 (38)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Building an AdS/CFT superconductor
• Holographic Superconductors
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Breaking an Abelian gauge symmetry near a black hole horizon
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• The Geometry of D=11 Killing Spinors
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• CFT Duals for Extreme Black Holes
• The Symplectic Structure of N=2 Supergravity and its Central Extension
• Consistent supersymmetric Kaluza--Klein truncations with massive modes
• Landscape of superconducting membranes
• Quantum Criticality and Holographic Superconductors in M-theory
• Measurement of the W -> lnu and Z/gamma* -> ll production cross sections in proton-proton collisions at sqrt(s) = 7 TeV with the ATLAS detector
• The gravity dual to a quantum critical point with spontaneous symmetry breaking
• From gauge-string duality to strong interactions: a Pedestrian's Guide
• General Matter Coupled N=2 Supergravity
• An N = 2 Supersymmetric Membrane Flow
• Automation of the matrix element reweighting method
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Quantum critical superconductors in string theory and M-theory
• Nonperturbative Instability of AdS_5 x S^5/Z_k
• Perturbative Gauge Theory and Closed String Tachyons
• Loop Corrections to the Universal Hypermultiplet
• Holographic, N=1 Supersymmetric RG Flows on M2 Branes
• Supersymmetric Domain Wall and RG Flow from 4-Dimensional Gauged N=8 Supergravity
• Fourteen new stationary points in the scalar potential of SO(8)-gauged N=8, D=4 supergravity
• The Squashed, Stretched, and Warped Gets Perturbed
• Using string theory to study the quark-gluon plasma: progress and perils
• Supersymmetric Charged Clouds in AdS_5
• The 11-dimensional Metric for AdS/CFT RG Flows with Common SU(3) Invariance
• Special geometry and symplectic transformations
• Warped Kaluza-Klein Dark Matter
• Gauging of N=2 Supergravity Hypermultiplet and Novel Renormalization Group Flows
• Are There Any New Vacua of Gauged N=8 Supergravity in Four Dimensions?
• A Supersymmetric Solution in N=2 Gauged Supergravity with the Universal Hypermultiplet

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• On the stability of non-supersymmetric supergravity solutions