论文标题

全球对称性,欧几里得重力和黑洞信息问题

Global symmetry, Euclidean gravity, and the black hole information problem

论文作者

Harlow, Daniel, Shaghoulian, Edgar

论文摘要

在本文中,我们主张量子重力中全球对称性的不存在与黑洞信息问题的单一分辨率之间的密切联系。特别是我们展示了如何使用蒸发黑洞的页面曲线计算的基本要素来推广针对超出ADS/CFT对应的全局对称性的最新论点,即更现实的量子重力理论。我们还给出了几个低维重力理论的低维例子,这些量子理论在通常的意义上没有对黑洞信息问题的统一分辨率,因此可以并且确实具有全球对称性。在这一讨论的推动下,我们猜想从某种意义上说,欧几里得量子重力等效于全息。

In this paper we argue for a close connection between the non-existence of global symmetries in quantum gravity and a unitary resolution of the black hole information problem. In particular we show how the essential ingredients of recent calculations of the Page curve of an evaporating black hole can be used to generalize a recent argument against global symmetries beyond the AdS/CFT correspondence to more realistic theories of quantum gravity. We also give several low-dimensional examples of quantum gravity theories which do not have a unitary resolution of the black hole information problem in the usual sense, and which therefore can and do have global symmetries. Motivated by this discussion, we conjecture that in a certain sense Euclidean quantum gravity is equivalent to holography.

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