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arXiv · 2510.20072

On FLRW reductions of N=1 supergravity

Nephtalí Eliceo Martínez-Pérez·Cupatitzio Ramírez Romero
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Abstract

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.

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Nephtalí Eliceo Martínez-Pérez, Cupatitzio Ramírez Romero. 2025-10-22. On FLRW reductions of N=1 supergravity. https://doi.org/10.1140/epjc%2Fs10052-025-14874-8

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