标题： 非 supersymmetric 量子临界点的超引力不稳定性 显示英文标题

标题： Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points

摘要： 受近期利用M理论的一些相容截断来使用全息技术研究凝聚态物理的启发，我们研究了四维N=8超引力中的SU(3)-不变部分，并在五个非平凡临界点处计算了完整的标量谱。我们证明较小的SU(4)^- 部分等价于最近被多位作者研究过的相容截断，并发现该部分的一个临界点（曾被提议作为全息超导体的基态）由于违反Breitenlohner-Freedman界的标量族而不稳定。我们还从十一维的角度推导出这种不稳定性，并评论了涉及任意Sasaki-Einstein七流形的这一临界点的其他嵌入的推广。遵循相容截断的重新关注趋势，我们以一种形式化的方式处理了SU(3)-不变部分，将其视为一个耦合了一个超多重态的U(1)xU(1)规范N=2超引力理论。 显示英文摘要

摘要： 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.