Noether-Wald charge in supergravity: the fermionic contribution
High Energy Physics - Theory
2023-06-22 v2 General Relativity and Quantum Cosmology
Abstract
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).
Keywords
Cite
@article{arxiv.2305.10617,
title = {Noether-Wald charge in supergravity: the fermionic contribution},
author = {Igor Bandos and Tomas Ortin},
journal= {arXiv preprint arXiv:2305.10617},
year = {2023}
}
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