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:
- Publication Date:
- 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.
Córdova, Clay, & Shao, Shu-Heng. Light-ray operators and the BMS algebra. United States. https://doi.org/10.1103/PhysRevD.98.125015
Córdova, Clay, and Shao, Shu-Heng. Fri .
"Light-ray operators and the BMS algebra". United States. https://doi.org/10.1103/PhysRevD.98.125015.
@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}
}
https://doi.org/10.1103/PhysRevD.98.125015
Web of Science
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