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Title: Constraints on Symmetries from Holography

Journal Article · · Physical Review Letters
 [1];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of Tokyo (Japan)

In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold within the anti–de Sitter/conformal field theory correspondence. These conjectures are that no global symmetries are possible, that internal gauge symmetries must come with dynamical objects that transform in all irreducible representations, and that internal gauge groups must be compact. These conjectures are not obviously true from a bulk perspective, they are nontrivial consequences of the nonperturbative consistency of the correspondence. More details of and background for these arguments are presented in an accompanying paper.

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation
Grant/Contract Number:
SC0011632; SC0019127; SC0018944
OSTI ID:
1513311
Alternate ID(s):
OSTI ID: 1597451
Journal Information:
Physical Review Letters, Vol. 122, Issue 19; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 103 works
Citation information provided by
Web of Science

References (40)

The gravity dual of a density matrix journal July 2012
Planck-scale physics and the Peccei-Quinn mechanism journal May 1992
Eternal black holes in anti-de Sitter journal April 2003
Local aspects of superselection rules journal August 1982
Restrictions on Transversal Encoded Quantum Gate Sets journal March 2009
The Ryu–Takayanagi Formula from Quantum Error Correction journal May 2017
Phase diagrams of lattice gauge theories with Higgs fields journal June 1979
Symmetries and strings in field theory and gravity journal April 2011
Deriving covariant holographic entanglement journal November 2016
Monopoles, Duality, and String Theory journal February 2004
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal May 2006
Causality & holographic entanglement entropy journal December 2014
The string landscape, black holes and gravity as the weakest force journal June 2007
Bulk locality and quantum error correction in AdS/CFT journal April 2015
Anti de Sitter space and holography journal January 1998
Local aspects of superselection rules. II journal September 1983
Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy journal November 2014
Wormholes, emergent gauge fields, and the weak gravity conjecture journal January 2016
A covariant holographic entanglement entropy proposal journal July 2007
Classical physics as geometry journal December 1957
Generalized gravitational entropy journal August 2013
Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality journal July 2016
Holographic probes of anti–de Sitter spacetimes journal April 1999
Wilson loops in the light of spin networks journal December 2004
Aspects of holographic entanglement entropy journal August 2006
Quantum corrections to holographic entanglement entropy journal November 2013
On Noether's theorem in quantum field theory journal August 1986
Monopoles, Duality, and String Theory conference November 2011
A Covariant Holographic Entanglement Entropy Proposal text January 2007
Restrictions on Transversal Encoded Quantum Gate Sets text January 2008
Generalized gravitational entropy text January 2013
Quantum corrections to holographic entanglement entropy text January 2013
Causality & holographic entanglement entropy text January 2014
Wormholes, Emergent Gauge Fields, and the Weak Gravity Conjecture text January 2015
The Ryu-Takayanagi Formula from Quantum Error Correction text January 2016
Deriving covariant holographic entanglement text January 2016
Aspects of Holographic Entanglement Entropy text January 2006
Planck-Scale Physics and the Peccei-Quinn Mechanism text January 1992
Anti De Sitter Space And Holography text January 1998
Wilson loops in the light of spin networks text January 2003

Cited By (6)

Chiral Froggatt-Nielsen models, gauge anomalies and flavourful axions text January 2020
On stringy de Sitter spacetimes journal December 2019
Discrete symmetries in dimer diagrams journal October 2019
Supersymmetric inflation from the fifth dimension journal August 2019
Inclusive nucleon decay searches as a frontier of baryon number violation journal January 2020
Dynamical Constraints on RG Flows and Cosmology text January 2019

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