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Title: Local subsystems in gauge theory and gravity

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]
  1. Univ. of California, Santa Barbara, CA (United States)
  2. Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada)

We consider the problem of defining localized subsystems in gauge theory and gravity. Such systems are associated to spacelike hypersurfaces with boundaries and provide the natural setting for studying entanglement entropy of regions of space. We present a general formalism to associate a gauge-invariant classical phase space to a spatial slice with boundary by introducing new degrees of freedom on the boundary. In Yang-Mills theory the new degrees of freedom are a choice of gauge on the boundary, transformations of which are generated by the normal component of the nonabelian electric field. In general relativity the new degrees of freedom are the location of a codimension-2 surface and a choice of conformal normal frame. These degrees of freedom transform under a group of surface symmetries, consisting of diffeomorphisms of the codimension-2 boundary, and position-dependent linear deformations of its normal plane. We find the observables which generate these symmetries, consisting of the conformal normal metric and curvature of the normal connection. We discuss the implications for the problem of defining entanglement entropy in quantum gravity. Finally, our work suggests that the Bekenstein-Hawking entropy may arise from the different ways of gluing together two partial Cauchy surfaces at a cross-section of the horizon.

Research Organization:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0011702
OSTI ID:
1360123
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 9; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 202 works
Citation information provided by
Web of Science

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Cited By (56)

Holographic description of boundary gravitons in (3+1) dimensions journal January 2019
Superselection sectors of gravitational subregions journal January 2019
Emergent classical spacetime from microstates of an incipient black hole journal January 2019
The holographic dual of the entanglement wedge symplectic form journal January 2020
Strolling along gravitational vacua journal January 2020
Scalar asymptotic charges and dual large gauge transformations journal April 2019
A gauge-invariant symplectic potential for tetrad general relativity journal July 2018
Soft charges and electric-magnetic duality journal August 2018
Conformal boundary conditions, loop gravity and the continuum journal October 2018
Asymptotic renormalization in flat space: symplectic potential and charges of electromagnetism journal October 2019
Symmetries, charges and conservation laws at causal diamonds in general relativity journal October 2019
Boundary theories for dilaton supergravity in 2D journal November 2018
Towards Holography in the BV-BFV Setting journal October 2019
The Ryu–Takayanagi Formula from Quantum Error Correction journal May 2017
Timeless Configuration Space and the Emergence of Classical Behavior journal May 2018
Quantum-First Gravity journal February 2019
Bubble networks: framed discrete geometry for quantum gravity journal December 2018
Towards space from Hilbert space: finding lattice structure in finite-dimensional quantum systems journal December 2018
Nonlocal global symmetries of a free scalar field in a bounded spatial domain journal September 2019
New boundary variables for classical and quantum gravity on a null surface journal October 2017
Area deficits and the Bel–Robinson tensor journal March 2018
Quasi-local holographic dualities in non-perturbative 3D quantum gravity journal June 2018
Gravitational edge modes: from Kac–Moody charges to Poincaré networks journal September 2019
Generating functional for gravitational null initial data journal November 2019
Reflections on the information paradigm in quantum and gravitational physics journal August 2017
Dual 2 + 1 D loop quantum gravity on the edge journal July 2019
Kinematical gravitational charge algebra journal January 2020
Loop gravity string journal May 2017
Unified geometric framework for boundary charges and particle dressings journal July 2018
Electromagnetic duality and central charge journal December 2018
2 + 1 D loop quantum gravity on the edge journal February 2019
Constrained field theories on Kerr backgrounds journal February 2019
Gauge from Holography and Holographic Gravitational Observables journal February 2019
Bulk entanglement entropy in perturbative excited states journal January 2018
Quantum Gravity on the Computer: Impressions of a Workshop journal January 2019
The holographic dual of the entanglement wedge symplectic form text January 2020
The holographic dual of the entanglement wedge symplectic form text January 2020
Entanglement Entropy and Duality preprint January 2016
The Ryu-Takayanagi Formula from Quantum Error Correction text January 2016
Local phase space and edge modes for diffeomorphism-invariant theories text January 2017
Quantum-first gravity text January 2018
Constrained field theories on Kerr backgrounds text January 2018
A Unified Geometric Framework for Boundary Charges and Particle Dressings text January 2018
Conformal boundary conditions, loop gravity and the continuum text January 2018
Soft Charges and Electric-Magnetic Duality text January 2018
Scalar Asymptotic Charges and Dual Large Gauge Transformations text January 2018
Emergent classical spacetime from microstates of an incipient black hole text January 2018
Holographic Renyi Entropy from Quantum Error Correction text January 2018
Flat entanglement spectra in fixed-area states of quantum gravity text January 2018
Entanglement Entropy, Relative Entropy and Duality text January 2018
Holographic description of boundary gravitons in (3+1) dimensions text January 2018
Unambiguous Phase Spaces for Subregions text January 2019
Generating functional for gravitational null initial data text January 2019
Entanglement entropy and superselection sectors I. Global symmetries text January 2019
Symmetries, charges and conservation laws at causal diamonds in general relativity text January 2019
The Holographic Dual of the Entanglement Wedge Symplectic Form text January 2019

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