Higher-Spin States of the Superstring in an Electromagnetic Background

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 ele...

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Bibliographic Details
Published in:arXiv.org 2021-10
Main Authors: Benakli, Karim, Berkovits, Nathan, Daniel, Cassiano A, Matheus Lize
Format: Article
Language:English
Subjects:
Field theory
Formalism
Supersymmetry
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2110.07623