渐近薛定谔时空
Asymptotically Schrödinger Space-Times
摘要：
我们首先回顾如何渐近薛定谔时空出现在一个自然的方式进行TsT变换渐近AdS时空和它的一些后果。然后，我们给出了一个坐标独立的定义的纯薛定谔时空的AdS度量和AdS零Killing向量。然后，通过与AdS情况类比，我们根据定义函数提供了薛定谔边界的局部和坐标独立定义。我们用它来构造局部薛定谔时空的费曼-格雷厄姆展开。
英文摘要：
We first review how asymptotically Schrödinger space-times arise in a natural way by performing a TsT transformation on asymptotically AdS space-times and some of its consequences. We then give a coordinate independent definition of a pure Schrödinger space-time in terms of an AdS metric and an AdS null Killing vector. Then, by analogy with the AdS case, we provide a local and coordinate independent definition of a Schrödinger boundary in terms of a defining function. We use this to construct the Fefferman-Graham expansions of locally Schrödinger space-times.
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