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arXiv · 2110.07623

Higher-Spin States of the Superstring in an Electromagnetic Background

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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Karim Benakli, Nathan Berkovits, Cassiano A. Daniel, Matheus Lize. 2021-10-14. Higher-Spin States of the Superstring in an Electromagnetic Background. https://doi.org/10.1007/jhep12(2021)112

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