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

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Daniel Harlow ◽  
Edgar Shaghoulian
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Global Symmetries ◽  
Close Connection ◽  
Usual Sense ◽  
Global Symmetry ◽  
Recent Argument ◽  
Black Hole Information ◽  
Information Problem ◽  
Low Dimensional

Abstract 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.

scholarly journals Black Hole Information Problem and Quantum Gravity

2009 ◽  
Author(s):  
Daniel R. Terno ◽  
Jerzy Kowalski-Glikman ◽  
R. Durka ◽  
M. Szczachor
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Black Hole Information ◽  
Information Problem

scholarly journals A PROPOSAL TO RESOLVE THE BLACK HOLE INFORMATION PARADOX

2002 ◽  
Vol 11 (10) ◽  
pp. 1537-1540 ◽  
Author(s):  
SAMIR D. MATHUR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Quantum Gravity ◽  
Bound State ◽  
Nonlocal Effects ◽  
Information Paradox ◽  
Microscopic Scale ◽  
Gravity Effects ◽  
Black Hole Information

The entropy and information puzzles arising from black holes cannot be resolved if quantum gravity effects remain confined to a microscopic scale. We use concrete computations in nonperturbative string theory to argue for three kinds of nonlocal effects that operate over macroscopic distances. These effects arise when we make a bound state of a large number of branes, and occur at the correct scale to resolve the paradoxes associated with black holes.

scholarly journals Black Hole Information Problem and Wave Bursts

2018 ◽  
Vol 57 (6) ◽  
pp. 1763-1773 ◽  
Author(s):  
Merab Gogberashvili ◽  
Lasha Pantskhava
Keyword(s):  
Black Hole ◽  
Black Hole Information ◽  
Information Problem ◽  
Wave Bursts

scholarly journals Conformal bootstrap in dS/CFT and topological quantum gravity

2019 ◽  
Vol 17 (01) ◽  
pp. 2050007
Author(s):  
Andrea Addazi ◽  
Antonino Marcianò
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Scattering Amplitude ◽  
Black Hole Entropy ◽  
Gravitational Instantons ◽  
Conformal Bootstrap ◽  
Topological Quantum ◽  
Black Hole Information ◽  
Kitaev Model ◽  
Spin Representations

We show that the correspondence among [Formula: see text], the 1D Schwarzian Model, Sachdev–Ye–Kitaev model and [Formula: see text] Topological Quantum Gravity can be extended to the case of [Formula: see text]. The [Formula: see text]-matrix, related to the gravitational scattering amplitude near the horizon of [Formula: see text] black hole, corresponds (on the side of the holographic projection) to a crossing kernel in the Schwarzian Model. The [Formula: see text]-matrix is related to the 6j-symbol of SU[Formula: see text]. We also find that in the Euclidean [Formula: see text] a new Kac–Moody symmetry of instantons emerges out. We dub these new solutions Kac–Moodions. A one-to-one correspondence of Kac–Moodion levels and SU[Formula: see text] spin representations is established. Every instanton then corresponds to spin representations deployed in Topological Quantum Gravity. The instantons are directly connected to the Black Hole entropy as punctures on its horizon. This strongly supports the recent proposal, in arXiv:1707.00347, that a Kac–Moody symmetry of gravitational instantons is related to the black hole information processing. We also comment on a further correspondence that can be established between the Schwarzian Model and noncommutative spacetimes in [Formula: see text]D, passing through the equivalence with Topological Quantum Gravity with cosmological constant, in the limit when the latter vanishes.

scholarly journals Local quenches, bulk entanglement entropy and a unitary Page curve

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Cesar A. Agón ◽  
Sagar F. Lokhande ◽  
Juan F. Pedraza
Keyword(s):  
Black Hole ◽  
Entanglement Entropy ◽  
Quantum Corrections ◽  
Massive Scalar Field ◽  
Black Hole Evaporation ◽  
Primary Operator ◽  
Black Hole Information ◽  
Information Problem ◽  
Matter Fields ◽  
Entropy Corrections

Abstract Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS3 geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT2, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order $$ \mathcal{O}\left({N}^0\right), $$ O N 0 , both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem.

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