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

Harlow, Daniel; Shaghoulian, Edgar

doi:10.1007/jhep04(2021)175

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

Journal Article · Mon Apr 19 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2021)175· OSTI ID:1852854

Harlow, Daniel ^[1];

^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
Univ. of Pennsylvania, Philadelphia, PA (United States). David Rittenhouse Lab.

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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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Simons Foundation; Sloan Foundation; Packard Foundation; US Air Force Office of Scientific Research (AFOSR)

Grant/Contract Number:: SC0019127; SC0020360; FA9550-19-1-0360; 38559

OSTI ID:: 1852854

Journal Information:: Journal of High Energy Physics (Online), Vol. 2021, Issue 4; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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