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BMS supertranslations and Weinberg’s soft graviton theorem

  • Temple He
  • Vyacheslav Lysov
  • Prahar MitraEmail author
  • Andrew Strominger
Open Access
Regular Article - Theoretical Physics

Abstract

Recently it was conjectured that a certain infinite-dimensional “diagonal” subgroup of BMS supertranslations acting on past and future null infinity ( Open image in new window and Open image in new window ) 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 Open image in new window , including the relevant soft graviton contributions. Boundary conditions at the past and future of Open image in new window 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.

Keywords

Scattering Amplitudes Space-Time Symmetries 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Temple He
    • 1
  • Vyacheslav Lysov
    • 1
  • Prahar Mitra
    • 1
    Email author
  • Andrew Strominger
    • 1
  1. 1.Center for the Fundamental Laws of NatureHarvard UniversityCambridgeU.S.A.

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