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arXiv · 1712.01594

Spin raising and lowering operators for Rarita-Schwinger fields

Özgür Açık·Ümit Ertem
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Abstract

Spin raising and lowering operators for massless field equations constructed from twistor spinors are considered. Solutions of the spin-$\frac{3}{2}$ massless Rarita-Schwinger equation from source-free Maxwell fields and twistor spinors are constructed. It is shown that this construction requires Ricci-flat backgrounds due to the gauge invariance of the massless Rarita-Schwinger equation. Constraints to construct spin raising and lowering operators for Rarita-Schwinger fields are found. Symmetry operators for Rarita-Schwinger fields via twistor spinors are obtained.

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Özgür Açık, Ümit Ertem. 2018-09-15. Spin raising and lowering operators for Rarita-Schwinger fields. https://doi.org/10.1103/physrevd.98.066004

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