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Title: Symmetries near the horizon

Abstract

We consider a nearly-AdS_2 gravity theory on the two-sided wormhole geometry. We construct three gauge-invariant operators in NAdS_2 which move bulk matter relative to the dynamical boundaries. In a two-sided system, these operators satisfy an SL(2) algebra (up to non perturbative corrections). In a semiclassical limit, these generators act like SL(2) transformations of the boundary time, or conformal symmetries of the two sided boundary theory. These can be used to define an operator-state mapping. A particular large N and low temperature limit of the SYK model has precisely the same structure, and this construction of the exact generators also applies. We also discuss approximate, but simpler, constructions of the generators in the SYK model. These are closely related to the “size” operator and are connected to the maximal chaos behavior captured by out of time order correlators.

Authors:
ORCiD logo [1];  [2];  [2]
  1. Princeton Univ., NJ (United States). Dept. of Physics
  2. Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
Publication Date:
Research Org.:
Inst. for Advanced Study, Princeton, NJ (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Simons Foundation
OSTI Identifier:
1596665
Grant/Contract Number:  
SC0009988; PHY-1748958
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: 2019; Journal Issue: 8; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Black Holes; Conformal Field Theory

Citation Formats

Lin, Henry W., Maldacena, Juan, and Zhao, Ying. Symmetries near the horizon. United States: N. p., 2019. Web. doi:10.1007/JHEP08(2019)049.
Lin, Henry W., Maldacena, Juan, & Zhao, Ying. Symmetries near the horizon. United States. doi:10.1007/JHEP08(2019)049.
Lin, Henry W., Maldacena, Juan, and Zhao, Ying. Thu . "Symmetries near the horizon". United States. doi:10.1007/JHEP08(2019)049. https://www.osti.gov/servlets/purl/1596665.
@article{osti_1596665,
title = {Symmetries near the horizon},
author = {Lin, Henry W. and Maldacena, Juan and Zhao, Ying},
abstractNote = {We consider a nearly-AdS_2 gravity theory on the two-sided wormhole geometry. We construct three gauge-invariant operators in NAdS_2 which move bulk matter relative to the dynamical boundaries. In a two-sided system, these operators satisfy an SL(2) algebra (up to non perturbative corrections). In a semiclassical limit, these generators act like SL(2) transformations of the boundary time, or conformal symmetries of the two sided boundary theory. These can be used to define an operator-state mapping. A particular large N and low temperature limit of the SYK model has precisely the same structure, and this construction of the exact generators also applies. We also discuss approximate, but simpler, constructions of the generators in the SYK model. These are closely related to the “size” operator and are connected to the maximal chaos behavior captured by out of time order correlators.},
doi = {10.1007/JHEP08(2019)049},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2019,
place = {United States},
year = {2019},
month = {8}
}

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