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arXiv · 2405.04379

Dressing fields for supersymmetry: The cases of the Rarita-Schwinger and gravitino fields

J. François·L. Ravera
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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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J. François, L. Ravera. 2024-05-07. Dressing fields for supersymmetry: The cases of the Rarita-Schwinger and gravitino fields. https://doi.org/10.1007/jhep07(2024)041

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