Holographic stress tensor for non-relativistic theories
Holographic stress tensor for non-relativistic theories
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DOI：
10.1088/1126-6708/2009/09/009
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发表时间：
2009-07
影响因子：
5.4
通讯作者：
S. Ross;O. Saremi
中科院分区：
文献类型：
--
作者：
S. Ross;O. Saremi
本文讨论了非相对论性共形场论的两个引力修正方案的场论应力张量的对偶几何计算。其中第一个有一个薛定谔对称性，包括伽利略助推，而第二个只有一个各向异性的尺度不变性（Lifshitz情况）。对于Lifshitz情形，我们构造了一个适当的作用原理。我们提出了一个定义的非相对论应力张量复杂的场论作为一个适当的变化的行动在这两种情况下。在薛定谔的情况下，我们表明，这给出了物理上合理的结果，一个简单的黑洞的解决方案，并同意较早的建议，以确定应力张量从熟悉的AdS处方。在Lifshitz的情况下，我们解决了线性化的运动方程的一般扰动周围的背景，表明我们的应力张量是有限的壳。
We discuss the calculation of the field theory stress tensor from the dual geometry for two recent proposals for gravity duals of non-relativistic conformal field theories. The first of these has a Schrodinger symmetry including Galilean boosts, while the second has just an anisotropic scale invariance (the Lifshitz case). For the Lifshitz case, we construct an appropriate action principle. We propose a definition of the non-relativistic stress tensor complex for the field theory as an appropriate variation of the action in both cases. In the Schrodinger case, we show that this gives physically reasonable results for a simple black hole solution and agrees with an earlier proposal to determine the stress tensor from the familiar AdS prescription. In the Lifshitz case, we solve the linearised equations of motion for a general perturbation around the background, showing that our stress tensor is finite on-shell.