Open Superstring First Mass Level Effective Lagrangian: Massive Spin-3/2 Fields in an Electromagnetic Background

Karim Benakli; Cassiano A. Daniel; Wenqi Ke

doi:10.1016/j.physletb.2023.137788

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arXiv · 2211.13691

Open Superstring First Mass Level Effective Lagrangian: Massive Spin-3/2 Fields in an Electromagnetic Background

Karim Benakli·Cassiano A. Daniel·Wenqi Ke

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Abstract

We derive fully explicit equations of motion, and the associated set of constraints, describing the propagation in a flat space-time of a charged spin-3/2 massive state in a constant electromagnetic background. For this purpose, we provide the Lagrangian for the physical fermionic fields in the first massive level of the open superstring. We first write a compact Lagrangian, allowing a simple derivation of the equations of motion and constraints. Then another one is given that yields directly a decoupled system of equations, though the fields of different spins look coupled at the level of the Lagrangian.

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Karim Benakli, Cassiano A. Daniel, Wenqi Ke. 2022-11-24. Open Superstring First Mass Level Effective Lagrangian: Massive Spin-3/2 Fields in an Electromagnetic Background. https://doi.org/10.1016/j.physletb.2023.137788

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