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arXiv 1608.06282hep-th
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引力和熵的等价运动方程

Equivalent Equations of Motion for Gravity and Entropy

Bartlomiej Czech, Lampros Lamprou, Samuel McCandlish, Benjamin Mosk, James Sully

摘要:

证明了CFT子区纠缠熵所服从的波动方程与Anti-de Sitter空间线性化的体爱因斯坦方程之间的等价性。在这样做时,我们利用了运动空间[arXiv:1505.05515]的形式和在[arXiv:1604.03110]中介绍的该空间上的场。我们表明,引力动力学是等价的规范不变的波动方程的运动空间,这个方程出现在自然对应的共形Casimir方程的CFT。

英文摘要:

We demonstrate an equivalence between the wave equation obeyed by the entanglement entropy of CFT subregions and the linearized bulk Einstein equation in Anti-de Sitter pace. In doing so, we make use of the formalism of kinematic space [arXiv:1505.05515] and fields on this space, introduced in [arXiv:1604.03110]. We show that the gravitational dynamics are equivalent to a gauge invariant wave-equation on kinematic space and that this equation arises in natural correspondence to the conformal Casimir equation in the CFT.

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