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

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arxiv 2108.07825 v1 pith:4NHZLNXM submitted 2021-08-17 hep-th gr-qc

Oscar Fuentealba , Marc Henneaux , Sucheta Majumdar , Javier Matulich , Turmoli Neogi This is my paper · ORCID
classification hep-thgr-qc
keywords generatorsalgebrafermionicnumbersbmstheyboundaryconditions
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abstract

Super-BMS$_4$ algebras -- also called BMS$_4$ superalgebras -- are graded extensions of the BMS$_4$ 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-BMS$_4$ algebra containing an infinite number of fermionic generators, which we denote SBMS$_4$. These boundary conditions are not only invariant under SBMS$_4$, 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 SBMS$_4$ algebra. One finds in particular that the graded brackets between the fermionic generators yield all the BMS$_4$ supertranslations, of which they provide therefore "square roots".

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Supertranslations in the bulk of spacetime

    hep-th 2025-12 conditional novelty 5.0 of 10

    Supertranslations can be defined in the bulk as changes of null hypersurfaces, extending boundary symmetries into the interior and producing a curvature-dependent memory effect in Schwarzschild.

  2. A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography

    hep-th 2025-01 reject novelty 5.0 of 10

    An N=4 supersymmetric w_{1+∞} algebra at λ=1/4 is proposed as the celestial soft current algebra of N=4 SO(4) supergravity, with truncations covering N=2,3 and matter-coupled cases.

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