Holographic symmetry algebras for gauge theory and gravity

Abstract All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification of these symmetries and their algebras is...

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Autores principales: A. Guevara, E. Himwich, M. Pate, A. Strominger
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Lenguaje:EN
Publicado: SpringerOpen 2021
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Acceso en línea:https://doaj.org/article/9f08743a6abc4fdda2fceded5300f7bb
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spelling oai:doaj.org-article:9f08743a6abc4fdda2fceded5300f7bb2021-11-21T12:41:37ZHolographic symmetry algebras for gauge theory and gravity10.1007/JHEP11(2021)1521029-8479https://doaj.org/article/9f08743a6abc4fdda2fceded5300f7bb2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)152https://doaj.org/toc/1029-8479Abstract All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification of these symmetries and their algebras is an open problem. Here we construct two towers of such 2D currents from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate the symmetries associated to an infinite tower of conformally soft theorems. The current algebra commutators are explicitly derived from the poles in the OPE coefficients, and found to comprise a rich closed subalgebra of the complete symmetry algebra.A. GuevaraE. HimwichM. PateA. StromingerSpringerOpenarticleGlobal SymmetriesScattering AmplitudesSpace-Time SymmetriesHigher Spin SymmetryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-18 (2021)
institution DOAJ
collection DOAJ
language EN
topic Global Symmetries
Scattering Amplitudes
Space-Time Symmetries
Higher Spin Symmetry
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Global Symmetries
Scattering Amplitudes
Space-Time Symmetries
Higher Spin Symmetry
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
A. Guevara
E. Himwich
M. Pate
A. Strominger
Holographic symmetry algebras for gauge theory and gravity
description Abstract All 4D gauge and gravitational theories in asymptotically flat spacetimes contain an infinite number of non-trivial symmetries. They can be succinctly characterized by generalized 2D currents acting on the celestial sphere. A complete classification of these symmetries and their algebras is an open problem. Here we construct two towers of such 2D currents from positive-helicity photons, gluons, or gravitons with integer conformal weights. These generate the symmetries associated to an infinite tower of conformally soft theorems. The current algebra commutators are explicitly derived from the poles in the OPE coefficients, and found to comprise a rich closed subalgebra of the complete symmetry algebra.
format article
author A. Guevara
E. Himwich
M. Pate
A. Strominger
author_facet A. Guevara
E. Himwich
M. Pate
A. Strominger
author_sort A. Guevara
title Holographic symmetry algebras for gauge theory and gravity
title_short Holographic symmetry algebras for gauge theory and gravity
title_full Holographic symmetry algebras for gauge theory and gravity
title_fullStr Holographic symmetry algebras for gauge theory and gravity
title_full_unstemmed Holographic symmetry algebras for gauge theory and gravity
title_sort holographic symmetry algebras for gauge theory and gravity
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/9f08743a6abc4fdda2fceded5300f7bb
work_keys_str_mv AT aguevara holographicsymmetryalgebrasforgaugetheoryandgravity
AT ehimwich holographicsymmetryalgebrasforgaugetheoryandgravity
AT mpate holographicsymmetryalgebrasforgaugetheoryandgravity
AT astrominger holographicsymmetryalgebrasforgaugetheoryandgravity
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