English

(Pseudo-)Dirac Gravitinos

High Energy Physics - Theory 2026-05-07 v1 High Energy Physics - Phenomenology

Abstract

We discuss low-energy effective theories with a Dirac gravitino. Our main benchmark is Scherk--Schwarz supersymmetry breaking with anti-periodic boundary conditions for fermions on S^1/Z_2. In this case two Majorana spin-3/2 modes are degenerate, so the low-energy theory is naturally organized around a Dirac gravitino and an associated R-symmetry selection rule. We show, in minimal supergravity, that this Dirac spin-3/2 mixing has no local Dirac-gaugino-type N=1 superspace realization: a superspace description requires projection onto the transverse superspin-3/2 sector. We then analyze some consequences for matter couplings and radiative masses. The ordinary gravitino supercurrent coupling gives the standard universal Scherk--Schwarz scalar threshold; in the minimal benchmark this contribution is negative, and should therefore be regarded as one calculable contribution to the scalar mass matrix, not as a complete scalar-spectrum prediction. Dirac fermion masses can be generated if an additional companion-channel matter current is present. The existence and normalization of this current are not fixed by the Dirac gravitino alone and depend on the ultraviolet completion. We finally discuss small R-breaking deformations, the resulting pseudo-Dirac regime, and comment on possible applications to singlet fermions, modulini, and radiative Dirac neutrino masses.

Keywords

Cite

@article{arxiv.2605.04146,
  title  = {(Pseudo-)Dirac Gravitinos},
  author = {Karim Benakli and Arno Goudeau},
  journal= {arXiv preprint arXiv:2605.04146},
  year   = {2026}
}

Comments

92 pages

R2 v1 2026-07-01T12:51:35.617Z