Double-soft graviton amplitudes and the extended BMS charge algebra

Abstract We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double...

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Main Authors: Jacques Distler, Raphael Flauger, Bart Horn
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP08(2019)021
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author Jacques Distler
Raphael Flauger
Bart Horn
author_facet Jacques Distler
Raphael Flauger
Bart Horn
author_sort Jacques Distler
collection DOAJ
description Abstract We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is expected to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.
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spelling doaj.art-6999fdc588d6453293c5902537629d462022-12-21T20:14:35ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019816710.1007/JHEP08(2019)021Double-soft graviton amplitudes and the extended BMS charge algebraJacques Distler0Raphael Flauger1Bart Horn2Department of Physics and Weinberg Theory Group, The University of Texas at AustinDepartment of Physics and High Energy Theory Group, University of California San DiegoDepartment of Physics, School of Science, Manhattan CollegeAbstract We discuss how scattering amplitudes in 4d Minkowski spacetime which involve multiple soft gravitons realize the algebra of BMS charges on the null boundary. In particular, we show how the commutator of two such charges is realized by the antisymmetrized consecutive soft limit of the double soft amplitude. The commutator is expected to be robust even in the presence of quantum corrections, and the associated Lie algebra has an extension, which breaks the BMS symmetry if the BMS algebra is taken to include the Virasoro algebra of local superrotations. We discuss the implications of this structure for the existence of a 2d CFT dual description for 4d scattering amplitudes.http://link.springer.com/article/10.1007/JHEP08(2019)021Classical Theories of GravityGauge SymmetryScattering AmplitudesSpace-Time Symmetries
spellingShingle Jacques Distler
Raphael Flauger
Bart Horn
Double-soft graviton amplitudes and the extended BMS charge algebra
Journal of High Energy Physics
Classical Theories of Gravity
Gauge Symmetry
Scattering Amplitudes
Space-Time Symmetries
title Double-soft graviton amplitudes and the extended BMS charge algebra
title_full Double-soft graviton amplitudes and the extended BMS charge algebra
title_fullStr Double-soft graviton amplitudes and the extended BMS charge algebra
title_full_unstemmed Double-soft graviton amplitudes and the extended BMS charge algebra
title_short Double-soft graviton amplitudes and the extended BMS charge algebra
title_sort double soft graviton amplitudes and the extended bms charge algebra
topic Classical Theories of Gravity
Gauge Symmetry
Scattering Amplitudes
Space-Time Symmetries
url http://link.springer.com/article/10.1007/JHEP08(2019)021
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AT raphaelflauger doublesoftgravitonamplitudesandtheextendedbmschargealgebra
AT barthorn doublesoftgravitonamplitudesandtheextendedbmschargealgebra