Abstract
In this paper we argue that the gauge-fixing conditions typically used to extract the (off-shell) degrees of freedom of the Rarita-Schwinger spinor-vector and gravitino, respectively in rigid supersymmetric field theory and supergravity, are actually instances of the dressing field method of symmetry reduction. Since the latter has a natural relation interpretation, solving the “gauge-fixing condition” — or, better, “dressing functional constraints” — actually realises the Rarita-Schwinger spinor-vector and the gravitino fields as (non-local) relational variables. To the best of our knowledge, this is the first application of the dressing field method to supersymmetric theories.
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Acknowledgments
J.F. is supported by the Austrian Science Fund (FWF), [P 36542] and by the OP J.A.C. MSCA grant, number CZ.02.01.01/00/22_010/0003229, co-funded by the Czech government Ministry of Education, Youth & Sports and the EU. L.R. acknowledges support from the COST Action CaLISTA CA21109 supported by COST.
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François, J., Ravera, L. Dressing fields for supersymmetry: the cases of the Rarita-Schwinger and gravitino fields. J. High Energ. Phys. 2024, 41 (2024). https://doi.org/10.1007/JHEP07(2024)041
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DOI: https://doi.org/10.1007/JHEP07(2024)041