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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.20072 |
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| _version_ | 1866917035905122304 |
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| author | Martínez-Pérez, Nephtalí Eliceo Romero, Cupatitzio Ramírez |
| author_facet | Martínez-Pérez, Nephtalí Eliceo Romero, Cupatitzio Ramírez |
| contents | An FLRW reduction of N=1 supergravity is troublesome since spatial isotropy prohibits a non-vanishing Rarita-Schwinger field. In view of this, we consider the quadratic form $ψ_m^{\ α} ψ_{n α}$ arising from a particular superspace generalization of the metric tensor. Imposing the FLRW form on this object reduces $ψ_m^{\ α}$ to a single 2-component spinor $ϕ^α$, which becomes the superpartner of both the scale factor $a$ and lapse $N$, thus inducing the conformal time gauge, $N=a$. Time-reparametrization invariance is restored if we allow for deviations of FLRW form that are proportional to the gauge fields $N, ψ_0^{\ α}$. We determine the allowed supergravity transformations that preserve the resulting FLRW supermultiplets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20072 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On FLRW reductions of N=1 supergravity Martínez-Pérez, Nephtalí Eliceo Romero, Cupatitzio Ramírez High Energy Physics - Theory General Relativity and Quantum Cosmology An FLRW reduction of N=1 supergravity is troublesome since spatial isotropy prohibits a non-vanishing Rarita-Schwinger field. In view of this, we consider the quadratic form $ψ_m^{\ α} ψ_{n α}$ arising from a particular superspace generalization of the metric tensor. Imposing the FLRW form on this object reduces $ψ_m^{\ α}$ to a single 2-component spinor $ϕ^α$, which becomes the superpartner of both the scale factor $a$ and lapse $N$, thus inducing the conformal time gauge, $N=a$. Time-reparametrization invariance is restored if we allow for deviations of FLRW form that are proportional to the gauge fields $N, ψ_0^{\ α}$. We determine the allowed supergravity transformations that preserve the resulting FLRW supermultiplets. |
| title | On FLRW reductions of N=1 supergravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.20072 |