Abstract
Constructing a consistent four-dimensional Lagrangian for charged massive higher-spin fields propagating in an electromagnetic background is an open problem. In 1989, Argyres and Nappi used bosonic open string field theory to construct a Lagrangian for charged massive spin-2 fields in a constant electromagnetic background. In this paper, we use the four-dimensional hybrid formalism for open superstring field theory to construct a supersymmetric Lagrangian for charged massive spin-2 and spin-3/2 fields in a constant electromagnetic background. The hybrid formalism has the advantage over the RNS formalism of manifest \( \mathcal{N} \) = 1 d=4 spacetime supersymmetry so that the spin-2 and spin-3/2 fields are combined into a single superfield and there is no need for picture-changing or spin fields.
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Benakli, K., Berkovits, N., Daniel, C.A. et al. Higher-spin states of the superstring in an electromagnetic background. J. High Energ. Phys. 2021, 112 (2021). https://doi.org/10.1007/JHEP12(2021)112
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DOI: https://doi.org/10.1007/JHEP12(2021)112