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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2021
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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) |
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Global Symmetries Scattering Amplitudes Space-Time Symmetries Higher Spin Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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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 |
_version_ |
1718418841526075392 |