Title: The particle number in Galilean holography Show Chinese title

Title: 伽利略全息中的粒子数

Abstract: Recently, gravity duals for certain Galilean-invariant conformal field theories have been constructed. In this paper, we point out that the spectrum of the particle number operator in the examples found so far is not a necessary consequence of the existence of a gravity dual. We record some progress towards more realistic spectra. In particular, we construct bulk systems with asymptotic Schrodinger symmetry and only one extra dimension. In examples, we find solutions which describe these Schrodinger-symmetric systems at finite density. A lift to M-theory is used to resolve a curvature singularity. As a happy byproduct of this analysis, we realize a state which could be called a holographic Mott insulator. Show Chinese abstract

Abstract: 最近，已经构建了某些伽利略不变共形场理论的引力对偶。 在本文中，我们指出，在目前为止找到的例子中，粒子数算符的谱并不是引力对偶存在所必然导致的结果。 我们记录了一些在更现实谱方面的进展。 特别是，我们构建了具有渐近施罗丁格对称性的体系统，并且只多了一个额外维度。 在例子中，我们找到了描述这些施罗丁格对称系统在有限密度下的解。 使用提升到M理论的方法来解决曲率奇点。 作为这一分析的一个意外成果，我们实现了一个可以称为全息莫特绝缘体的状态。