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Noether-Wald charge in supergravity: the fermionic contribution

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arxiv 2305.10617 v2 pith:YPAEIVNM submitted 2023-05-18 hep-th gr-qc

classification hep-thgr-qc
keywords supergravitytransformationschargefermionicnoether-waldsupersymmetryunderanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the invariance of N=1,d=4 supergravity solutions under diffeormophisms and show that, in order to obtain consistent conditions (``Killing equations'') invariant under local supersymmetry transformations, one has to perform supersymmetry transformations generated by the superpartner of the vector that generates standard diffeomorphisms, just as a superspace analysis indicates. Using these transformations, we construct a Noether-Wald charge of N=1,d=4 supergravity with fermionic contributions which is diff- Lorentz- and supersymmetry-invariant (up to a total derivative).

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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. The Komar charge in presence of the Holst term and the gravitational Witten effect

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Holst term shifts the Komar mass of Taub-NUT space by -αN, giving a gravitational analog of the Witten effect.

  2. GGI lectures on boundary and asymptotic symmetries

    hep-th 2025-12 conditional novelty 4.0 of 10

    A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...

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