Schrödinger Invariance from Lifshitz Isometries in Holography and Field Theory
Schrödinger Invariance from Lifshitz Isometries in Holography and Field Theory
复制标题
全息术和场论中 Lifshitz 等距的薛定谔不变性
DOI：
10.1103/physrevd.92.066003
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发表时间：
2014
影响因子：
5
通讯作者：
N. Obers
中科院分区：
文献类型：
--
作者：
J. Hartong;E. Kiritsis;N. Obers
我们直接和全息地研究与扭转牛顿-嘉当几何耦合的非相对论场论。后者涉及渐近局部利夫希茨时空的引力。我们定义了能量动量张量和质量电流，并研究了平坦牛顿嘉当背景下守恒电流与共形杀死向量之间的关系。结果表明，平坦的 NC 时空实现了 Lifshitz 代数的两个副本，它们一起形成了薛定谔代数（没有中心元素）。我们展示了为什么薛定谔标量模型具有两个对称副本，而 Lifshitz 标量模型只有一个。最后，我们通过证明大块利夫希茨时空实现了利夫希茨代数的相同两个副本来讨论这种现象的全息对偶。
We study non-relativistic field theory coupled to a torsional Newton-Cartan geometry both directly as well as holographically. The latter involves gravity on asymptotically locally Lifshitz space-times. We define an energy-momentum tensor and a mass current and study the relation between conserved currents and conformal Killing vectors for flat Newton-Cartan backgrounds. It is shown that flat NC space-time realizes two copies of the Lifshitz algebra that together form a Schroedinger algebra (without the central element). We show why the Schroedinger scalar model has both copies as symmetries and the Lifshitz scalar model only one. Finally we discuss the holographic dual of this phenomenon by showing that the bulk Lifshitz space-time realizes the same two copies of the Lifshitz algebra.