Double-soft graviton amplitudes and the extended BMS charge algebra

Distler, Jacques; Flauger, Raphael; Horn, Bart

doi:10.1007/jhep08(2019)021

Double-soft graviton amplitudes and the extended BMS charge algebra

Journal Article · Mon Aug 05 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2019)021· OSTI ID:1611233

Distler, Jacques ^[1]; Flauger, Raphael ^[2]; Horn, Bart ^[3]

Univ. of Texas, Austin, TX (United States); DOE/OSTI
Univ. of California, San Diego, CA (United States)
Manhattan College, New York, NY (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1611233

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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