Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

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]
+ Show Author Affiliations
  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.:
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; 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.
Copy to clipboard
Lin, Henry W., Maldacena, Juan, & Zhao, Ying. Symmetries near the horizon. United States. https://doi.org/10.1007/JHEP08(2019)049
Copy to clipboard
Lin, Henry W., Maldacena, Juan, and Zhao, Ying. Thu . "Symmetries near the horizon". United States. https://doi.org/10.1007/JHEP08(2019)049. https://www.osti.gov/servlets/purl/1596665.
Copy to clipboard
@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 = {Thu Aug 08 00:00:00 EDT 2019},
month = {Thu Aug 08 00:00:00 EDT 2019}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1007/JHEP08(2019)049
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 49 works
Citation information provided by
Web of Science
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Construction of bulk fields with gauge redundancy
journal, September 2012

Sachdev–Ye–Kitaev model as Liouville quantum mechanics
journal, October 2016

Power-law out of time order correlation functions in the SYK model
journal, August 2017

Exact Dirac quantization of all 2D dilaton gravity theories
journal, January 1994

The bulk dual of SYK: cubic couplings
journal, May 2017

  • Gross, David J.; Rosenhaus, Vladimir
  • Journal of High Energy Physics, Vol. 2017, Issue 5
  • DOI: 10.1007/JHEP05(2017)092

Lower dimensional gravity
journal, January 1985

Bulk and transhorizon measurements in AdS/CFT
journal, October 2012

  • Heemskerk, Idse; Marolf, Donald; Polchinski, Joseph
  • Journal of High Energy Physics, Vol. 2012, Issue 10
  • DOI: 10.1007/JHEP10(2012)165

Towards a derivation of holographic entanglement entropy
journal, May 2011

  • Casini, Horacio; Huerta, Marina; Myers, Robert C.
  • Journal of High Energy Physics, Vol. 2011, Issue 5
  • DOI: 10.1007/JHEP05(2011)036

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
journal, May 2018

  • Kitaev, Alexei; Suh, S. Josephine
  • Journal of High Energy Physics, Vol. 2018, Issue 5
  • DOI: 10.1007/JHEP05(2018)183

Gravitation and hamiltonian structure in two spacetime dimensions
journal, June 1983

Traversable wormholes via a double trace deformation
journal, December 2017

  • Gao, Ping; Jafferis, Daniel Louis; Wall, Aron C.
  • Journal of High Energy Physics, Vol. 2017, Issue 12
  • DOI: 10.1007/JHEP12(2017)151

Fast scramblers
journal, October 2008

Diving into traversable wormholes: Diving into traversable wormholes
journal, May 2017

  • Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin
  • Fortschritte der Physik, Vol. 65, Issue 5
  • DOI: 10.1002/prop.201700034

Operator growth in the SYK model
journal, June 2018

  • Roberts, Daniel A.; Stanford, Douglas; Streicher, Alexandre
  • Journal of High Energy Physics, Vol. 2018, Issue 6
  • DOI: 10.1007/JHEP06(2018)122

Entanglement entropy and nonabelian gauge symmetry
journal, October 2014

Quantum Gravity in Two Dimensions: Exact Solution of the Jackiw Model
journal, March 1985

Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
journal, November 2016

  • Maldacena, Juan; Stanford, Douglas; Yang, Zhenbin
  • Progress of Theoretical and Experimental Physics, Vol. 2016, Issue 12
  • DOI: 10.1093/ptep/ptw124

Statistical mechanics of a two-dimensional black hole
journal, May 2019

  • Kitaev, Alexei; Suh, S. Josephine
  • Journal of High Energy Physics, Vol. 2019, Issue 5
  • DOI: 10.1007/JHEP05(2019)198

Geometrodynamics of Schwarzschild black holes
journal, September 1994

Black holes and the butterfly effect
journal, March 2014

  • Shenker, Stephen H.; Stanford, Douglas
  • Journal of High Energy Physics, Vol. 2014, Issue 3
  • DOI: 10.1007/JHEP03(2014)067

Local bulk operators in AdS/CFT correspondence: A boundary view of horizons and locality
journal, April 2006

Constructing local bulk observables in interacting AdS/CFT
journal, May 2011

Decoding the hologram: Scalar fields interacting with gravity
journal, March 2014

Complexity and shock wave geometries
journal, December 2014

Wormholes, emergent gauge fields, and the weak gravity conjecture
journal, January 2016

Fast Scramblers
text, January 2008

Towards a derivation of holographic entanglement entropy
text, January 2011

Bulk and Transhorizon Measurements in AdS/CFT
text, January 2012

An Investigation of AdS$_2$ Backreaction and Holography
text, January 2016

The Bulk Dual of SYK: Cubic Couplings
text, January 2017

    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    SYK correlators for all energies
    journal, February 2020

    An exact quantization of Jackiw-Teitelboim gravity
    text, January 2019

    SYK Correlators for All Energies
    text, January 2019

      Sort by:
      [ × clear filter / sort ]

      Similar Records in DOE PAGES and OSTI.GOV collections: