https://doi.org/10.1140/epjc/s10052-025-14874-8
Regular Article - Theoretical Physics
On FLRW reductions of 
supergravity
Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, C.P. 72570, Avenida San Claudio & 18 Sur, Puebla, Ciudad Universitaria, Mexico
a
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Received:
4
July
2025
Accepted:
30
September
2025
Published online:
10
October
2025
An FLRW reduction of supergravity is troublesome since spatial isotropy prohibits a non-vanishing Rarita–Schwinger field. In view of this, we consider the quadratic form 
arising from a particular superspace generalization of the metric tensor. Imposing the FLRW form on this object reduces 
to a single 2-component spinor 
, which becomes the superpartner of both the scale factor a and lapse N, thus inducing the conformal time gauge, 
. Time-reparametrization invariance is restored if we allow for deviations of FLRW form that are proportional to the gauge fields 
. We determine the allowed supergravity transformations that preserve the resulting FLRW supermultiplets.
© The Author(s) 2025
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