Dressing fields for supersymmetry: The cases of the Rarita-Schwinger and gravitino fields
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910681048023040 |
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| author | François, J. Ravera, L. |
| author_facet | François, J. Ravera, L. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_04379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dressing fields for supersymmetry: The cases of the Rarita-Schwinger and gravitino fields François, J. Ravera, L. High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | Dressing fields for supersymmetry: The cases of the Rarita-Schwinger and gravitino fields |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.04379 |