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

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Authors

FRANCOIS Jordan Thomas RAVERA L.

Year of publication 2024
Type Article in Periodical
Magazine / Source Journal of High Energy Physics
MU Faculty or unit

Faculty of Science

Citation
web https://link.springer.com/article/10.1007/JHEP07(2024)041
Doi http://dx.doi.org/10.1007/JHEP07(2024)041
Keywords Gauge Symmetry; Supergravity Models; Supersymmetric Gauge Theory
Description 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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