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arXiv 1406.1804hep-th
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纠缠熵的一种新自旋

A new spin on entanglement entropy

Eliot Hijano, Per Kraus

摘要:

我们认为,通常的概念热力学和纠缠熵有新的类似物的背景下,更高的自旋理论。特别是,沃尔德和Ryu-Takayanagi公式有自然的更高的自旋扩展,我们的工作和研究。在CFT方面,正如标准的纠缠熵在CFT_2可以计算从扭曲场的纠缠,我们表明,通过引入相应的运营商携带更高的自旋电荷,我们可以精确地重现我们的结果从散装。我们还表明,纠缠熵的第一定律意味着线性化的场方程的度规和更高的自旋领域,推广最近的工作推导线性化的爱因斯坦方程的第一定律。

英文摘要:

We argue that the usual notions of thermodynamic and entanglement entropy have novel analogs in the context of higher spin theories. In particular, the Wald and Ryu-Takayanagi formulas have natural higher spin extensions that we work out and study. On the CFT side, just as standard entanglement entropy in CFT_2 can be computed from twist field correlators, we demonstrate that by introducing corresponding operators carrying higher spin charge we can precisely reproduce our results from the bulk. We also show that the first law for entanglement entropy implies the linearized field equations for the metric and higher spin fields, generalizing recent work on deriving the linearized Einstein equations from the first law.

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