articleJournal of High Energy PhysicsMay 1, 2015DIAMOND OA

BMS supertranslations and Weinberg’s soft graviton theorem

THTemple HeVLVyacheslav LysovPMPrahar MitraASAndrew Strominger

Harvard University

Indexed inarxivcrossrefdoaj

Abstract

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…

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Authors

4
  • TH
    Temple HeCorresponding

    Harvard University

  • VL
    Vyacheslav Lysov

    Harvard University

  • PM
    Prahar Mitra

    Harvard University

  • AS
    Andrew Strominger

    Harvard University

Topics & keywords

Topics
Keywords
  • Graviton
  • Boson
  • Null (SQL)
  • Boundary (topology)
  • Quantum gravity
  • Bracket
  • Infinity
  • Boundary value problem
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