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Title: Islands in asymptotically flat 2D gravity

Abstract

The large-$$\textit{N}$$ limit of asymptotically flat two-dimensional dilaton gravity coupled to $$\textit{N}$$ free matter fields provides a useful toy model for semiclassical black holes and the information paradox. Analyses of the asymptotic information flux as given by the entanglement entropy show that it follows the Hawking curve, indicating that information is destroyed in these models. Recently, motivated by developments in AdS/CFT, a semiclassical island rule for entropy has been proposed. We define and compute the island rule entropy for black hole formation and evaporation in the large-$$\textit{N}$$ RST model of dilaton gravity and show that, in contrast, it follows the unitary Page curve. The relation of these two observations, and interesting properties of the dilaton gravity island rule, are discussed.

Authors:
 [1]; ORCiD logo [1];  [2]
  1. Cornell Univ., Ithaca, NY (United States). Dept. of Physics
  2. Harvard Univ., Cambridge, MA (United States). Dept. of Physics
Publication Date:
Research Org.:
Cornell Univ., Ithaca, NY (United States); Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; Gordon and Betty and Moore Foundation; John Templeton Foundation
OSTI Identifier:
1646652
Grant/Contract Number:  
SC0014123; SC0007870; 488643
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 2D Gravity; Black Holes; Models of Quantum Gravity

Citation Formats

Hartman, Thomas, Shaghoulian, Edgar, and Strominger, Andrew. Islands in asymptotically flat 2D gravity. United States: N. p., 2020. Web. doi:10.1007/JHEP07(2020)022.
Hartman, Thomas, Shaghoulian, Edgar, & Strominger, Andrew. Islands in asymptotically flat 2D gravity. United States. https://doi.org/10.1007/JHEP07(2020)022
Hartman, Thomas, Shaghoulian, Edgar, and Strominger, Andrew. Fri . "Islands in asymptotically flat 2D gravity". United States. https://doi.org/10.1007/JHEP07(2020)022. https://www.osti.gov/servlets/purl/1646652.
@article{osti_1646652,
title = {Islands in asymptotically flat 2D gravity},
author = {Hartman, Thomas and Shaghoulian, Edgar and Strominger, Andrew},
abstractNote = {The large-$\textit{N}$ limit of asymptotically flat two-dimensional dilaton gravity coupled to $\textit{N}$ free matter fields provides a useful toy model for semiclassical black holes and the information paradox. Analyses of the asymptotic information flux as given by the entanglement entropy show that it follows the Hawking curve, indicating that information is destroyed in these models. Recently, motivated by developments in AdS/CFT, a semiclassical island rule for entropy has been proposed. We define and compute the island rule entropy for black hole formation and evaporation in the large-$\textit{N}$ RST model of dilaton gravity and show that, in contrast, it follows the unitary Page curve. The relation of these two observations, and interesting properties of the dilaton gravity island rule, are discussed.},
doi = {10.1007/JHEP07(2020)022},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2020,
place = {United States},
year = {Fri Jul 03 00:00:00 EDT 2020},
month = {Fri Jul 03 00:00:00 EDT 2020}
}

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Figures / Tables:

Figure 1 Figure 1: Linear dilaton vacuum. The physical spacetime is the unshaded region, with a boundary at Ω = $\frac{1}{4}$ .

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