# Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points - High Energy Physics - Theory

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Abstract: Motivated by the recent use of certain consistent truncations of M-theory tostudy condensed matter physics using holographic techniques, we study theSU3-invariant sector of four-dimensional, N=8 gauged supergravity and computethe complete scalar spectrum at each of the five non-trivial critical points.We demonstrate that the smaller SU4^- sector is equivalent to a consistenttruncation studied recently by various authors and find that the critical pointin this sector, which has been proposed as the ground state of a holographicsuperconductor, is unstable due to a family of scalars that violate theBreitenlohner-Freedman bound. We also derive the origin of this instability ineleven dimensions and comment on the generalization to other embeddings of thiscritical point which involve arbitrary Sasaki-Einstein seven manifolds. In thespirit of a resurging interest in consistent truncations, we present a formaltreatment of the SU3-invariant sector as a U1xU1 gauged N=2 supergravitytheory coupled to one hypermultiplet.

Author: ** Nikolay Bobev, Nick Halmagyi, Krzysztof Pilch, Nicholas P. Warner**

Source: https://arxiv.org/