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...
Main Authors: | , , |
---|---|
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 |
_version_ | 1818886206476255232 |
---|---|
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. |
first_indexed | 2024-12-19T16:17:39Z |
format | Article |
id | doaj.art-6999fdc588d6453293c5902537629d46 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-19T16:17:39Z |
publishDate | 2019-08-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |
work_keys_str_mv | AT jacquesdistler doublesoftgravitonamplitudesandtheextendedbmschargealgebra AT raphaelflauger doublesoftgravitonamplitudesandtheextendedbmschargealgebra AT barthorn doublesoftgravitonamplitudesandtheextendedbmschargealgebra |