Symmetries near the horizon
Abstract
We consider a nearlyAdS_2 gravity theory on the twosided wormhole geometry. We construct three gaugeinvariant operators in NAdS_2 which move bulk matter relative to the dynamical boundaries. In a twosided 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 operatorstate 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:

 Princeton Univ., NJ (United States). Dept. of Physics
 Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences
 Publication Date:
 Research Org.:
 Institute for Advanced Study, Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation
 OSTI Identifier:
 1596665
 Grant/Contract Number:
 SC0009988; PHY1748958
 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 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT 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:https://doi.org/10.1007/JHEP08(2019)049
Lin, Henry W., Maldacena, Juan, and Zhao, Ying. Thu .
"Symmetries near the horizon". United States. doi:https://doi.org/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 nearlyAdS_2 gravity theory on the twosided wormhole geometry. We construct three gaugeinvariant operators in NAdS_2 which move bulk matter relative to the dynamical boundaries. In a twosided 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 operatorstate 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}
}
Web of Science
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