Light-ray operators and the BMS algebra

Córdova, Clay; Shao, Shu-Heng

doi:10.1103/PhysRevD.98.125015

Title: Light-ray operators and the BMS algebra

Abstract

We study light-ray operators constructed from the energy-momentum tensor in d-dimensional Lorentzian conformal field theory. These include in particular the average null energy operator. The commutators of parallel light-ray operators on a codimension one light sheet form an infinite-dimensional algebra. We determine this light-ray algebra and find that the d-dimensional (generalized) Bondi–van der Burg–Metzner–Sachs algebra, including both the supertranslation and the super-rotation, is a subalgebra. We verify this algebra in correlation functions of free scalar field theory. We also determine the infinite-dimensional algebra of light-ray operators built from non-Abelian spin-one conserved currents.

Authors:: Córdova, Clay; Shao, Shu-Heng

Publication Date:: 2018-12-28

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF)

OSTI Identifier:: 1489078

Alternate Identifier(s):: OSTI ID: 1611292

Grant/Contract Number:: de-sc0009988; SC0009988; PHY-1606531

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 12; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Conformal field theory; Quantum field theory; Symmetries

Citation Formats


                    Córdova, Clay, and Shao, Shu-Heng. Light-ray operators and the BMS algebra.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.125015.

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                    Córdova, Clay, & Shao, Shu-Heng. Light-ray operators and the BMS algebra.  United States.  https://doi.org/10.1103/PhysRevD.98.125015

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                    Córdova, Clay, and Shao, Shu-Heng. Fri .  
"Light-ray operators and the BMS algebra".  United States.  https://doi.org/10.1103/PhysRevD.98.125015.

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@article{osti_1489078,

  title        = {Light-ray operators and the BMS algebra},

  author       = {Córdova, Clay and Shao, Shu-Heng},

  abstractNote = {We study light-ray operators constructed from the energy-momentum tensor in d-dimensional Lorentzian conformal field theory. These include in particular the average null energy operator. The commutators of parallel light-ray operators on a codimension one light sheet form an infinite-dimensional algebra. We determine this light-ray algebra and find that the d-dimensional (generalized) Bondi–van der Burg–Metzner–Sachs algebra, including both the supertranslation and the super-rotation, is a subalgebra. We verify this algebra in correlation functions of free scalar field theory. We also determine the infinite-dimensional algebra of light-ray operators built from non-Abelian spin-one conserved currents.},

  doi          = {10.1103/PhysRevD.98.125015},

  journal      = {Physical Review D},

  number       = 12,

  volume       = 98,

  place        = {United States},

  year         = {2018},

  month        = {12}

}

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Title: Light-ray operators and the BMS algebra

Abstract

Citation Formats

Asymptotic Symmetries in Gravitational Theory journal, December 1962

Averaged null energy condition from causality journal, July 2017

Aspects of the BMS/CFT correspondence conference, April 2011

Aspects of the BMS/CFT correspondence journal, May 2010

On BMS invariance of gravitational scattering journal, July 2014

Universal bounds on operator dimensions from the average null energy condition journal, February 2018

Asymptotic symmetries of Yang-Mills theory journal, July 2014

Gravitational memory, BMS supertranslations and soft theorems journal, January 2016

BMS supertranslations and Weinberg’s soft graviton theorem journal, May 2015

Discrete Series for the Universal Covering Group of the 3 + 2 de Sitter Group journal, February 1967

Generalized global symmetries journal, February 2015

Asymptotic symmetries and subleading soft graviton theorem journal, December 2014

Restrictions imposed by superconformal invariance on quantum field theories journal, January 1998

Modular Hamiltonians on the null plane and the Markov property of the vacuum state journal, August 2017

New gravitational memories journal, December 2016

Modular Hamiltonians for deformed half-spaces and the averaged null energy condition journal, September 2016

Implications of Conformal Invariance in Field Theories for General Dimensions journal, May 1994

Infrared Photons and Gravitons journal, October 1965

All unitary ray representations of the conformal group SU(2,2) with positive energy journal, February 1977

Light-ray operators in conformal field theory journal, November 2018

Area, entanglement entropy and supertranslations at null infinity journal, July 2017

Conformal collider physics: energy and charge correlations journal, May 2008

BMS charge algebra journal, December 2011

Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited journal, September 2010

Asymptotic Symmetries in Gravitational Theory
journal, December 1962

Averaged null energy condition from causality
journal, July 2017

Aspects of the BMS/CFT correspondence
conference, April 2011

Aspects of the BMS/CFT correspondence
journal, May 2010

On BMS invariance of gravitational scattering
journal, July 2014

Universal bounds on operator dimensions from the average null energy condition
journal, February 2018

Asymptotic symmetries of Yang-Mills theory
journal, July 2014

Gravitational memory, BMS supertranslations and soft theorems
journal, January 2016

BMS supertranslations and Weinberg’s soft graviton theorem
journal, May 2015

Discrete Series for the Universal Covering Group of the 3 + 2 de Sitter Group
journal, February 1967

Generalized global symmetries
journal, February 2015

Asymptotic symmetries and subleading soft graviton theorem
journal, December 2014

Restrictions imposed by superconformal invariance on quantum field theories
journal, January 1998

Modular Hamiltonians on the null plane and the Markov property of the vacuum state
journal, August 2017

New gravitational memories
journal, December 2016

Modular Hamiltonians for deformed half-spaces and the averaged null energy condition
journal, September 2016

Implications of Conformal Invariance in Field Theories for General Dimensions
journal, May 1994

Infrared Photons and Gravitons
journal, October 1965

All unitary ray representations of the conformal group SU(2,2) with positive energy
journal, February 1977

Light-ray operators in conformal field theory
journal, November 2018

Area, entanglement entropy and supertranslations at null infinity
journal, July 2017

Conformal collider physics: energy and charge correlations
journal, May 2008

BMS charge algebra
journal, December 2011

Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited
journal, September 2010