On FLRW reductions of $$N=1$$ N = 1 supergravity
Abstrak
Abstract An FLRW reduction of $$N=1$$ N = 1 supergravity is troublesome since spatial isotropy prohibits a non-vanishing Rarita–Schwinger field. In view of this, we consider the quadratic form $$\psi _m^{\ \alpha } \psi _{n\alpha }$$ ψ m α ψ n α arising from a particular superspace generalization of the metric tensor. Imposing the FLRW form on this object reduces $$\psi _m^{\ \alpha }$$ ψ m α to a single 2-component spinor $$\phi ^\alpha $$ ϕ α , which becomes the superpartner of both the scale factor a and lapse N, thus inducing the conformal time gauge, $$N=a$$ N = a . Time-reparametrization invariance is restored if we allow for deviations of FLRW form that are proportional to the gauge fields $$N, \psi _0^{\ \alpha }$$ N , ψ 0 α . We determine the allowed supergravity transformations that preserve the resulting FLRW supermultiplets.
Topik & Kata Kunci
Penulis (2)
Nephtalí Eliceo Martínez-Pérez
Cupatitzio Ramírez Romero
Akses Cepat
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Cek di sumber asli →- Tahun Terbit
- 2025
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- DOI
- 10.1140/epjc/s10052-025-14874-8
- Akses
- Open Access ✓