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  • Letter
  • Open Access

Local supersymmetry and the square roots of Bondi-Metzner-Sachs supertranslations

Oscar Fuentealba1,*, Marc Henneaux1,2, Sucheta Majumdar1, Javier Matulich1, and Turmoli Neogi1

  • 1Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine CP231, B-1050 Brussels, Belgium
  • 2Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France

  • *Corresponding author. oscar.fuentealba@ulb.be
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Phys. Rev. D 104, L121702 – Published 10 December, 2021

DOI: https://doi.org/10.1103/PhysRevD.104.L121702

Abstract

Super−BMS4 algebras—also called BMS4 superalgebras—are graded extensions of the BMS4 algebra. They can be of two different types; they can contain either a finite number or an infinite number of fermionic generators. We show in this letter that, with suitable boundary conditions on the graviton and gravitino fields at spatial infinity, supergravity on asymptotically flat spaces possesses as superalgebra of asymptotic symmetries a (nonlinear) super−BMS4 algebra containing an infinite number of fermionic generators, which we denote SBMS4. These boundary conditions are not only invariant under SBMS4 but also lead to a fully consistent canonical description of the supersymmetries, which have, in particular, well-defined Hamiltonian generators that close according to the nonlinear SBMS4 algebra. One finds, in particular, that the graded brackets between the fermionic generators yield all the BMS4 supertranslations, of which they provide therefore “square roots”.

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References (55)

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Outline

Information

Phys. Rev. D 104, L121702– Published 10 December, 2021
  • Received 26 August 2021
  • Accepted 18 October 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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