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BMS supertranslations and Weinberg’s soft graviton theorem
Open accessAbstract
Recently it was conjectured that a certain infinite-dimensional “diagonal” subgroup of BMS supertranslations acting on past and future null infinity ( and ) is an exact symmetry of the quantum gravity S-matrix, and an associated Ward identity was derived. In this paper we show that this supertranslation Ward identity is precisely equivalent to Weinberg’s soft graviton theorem. Along the way we construct the canonical generators of supertranslations at , including the relevant soft graviton contributions. Boundary conditions at the past and future of and a correspondingly modified Dirac bracket are required. The soft gravitons enter as boundary modes and are manifestly the Goldstone bosons of spontaneously broken supertranslation invariance.
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Cites
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
Bondi, H., Van der Burg, M. G. J., & Metzner, A. W. K. (1962) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0161 · Cited by 2,426
Cited by
Hawking, S. W., Perry, M. J., & Strominger, A. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.231301 · Cited by 764
Self-citationPasterski, S., Strominger, A., & Zhiboedov, A. (2016) · Journal of High Energy Physics · doi:10.1007/jhep12(2016)053 · Cited by 300
Self-citationAsymptotic behavior of massless fields and the memory effect
Satishchandran, G., & Wald, R. M. (2019) · Physical Review D · doi:10.1103/physrevd.99.084007 · Cited by 81
Metadata
- Authors
- He, T., Lysov, V., Mitra, P., & Strominger, A.
- Venue
- Journal of High Energy Physics
- Published
- 2015-05
- Volume
- 2015
- Issue
- 5
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2113203483
- Cited by
- 604
- References
- 1
- FWCI
- 27.06
- Type
- journal article
- Language
- en
- Open access
- diamond
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- He, T., Lysov, V., Mitra, P., & Strominger, A. (2015). BMS supertranslations and Weinberg’s soft graviton theorem. Journal of High Energy Physics. https://doi.org/10.1007/jhep05(2015)151
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