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arXiv · 0801.1892

Generalized Symmetries of Massless Free Fields on Minkowski Space

Juha Pohjanpelto·Stephen C. Anco
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Abstract

A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin $s \geq 1/2$ is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral symmetries of order $2s$, and their higher-order extensions obtained by Lie differentiation with respect to conformal Killing vectors. In particular, the results yield a complete classification of generalized symmetries of the Dirac-Weyl neutrino equation, Maxwell's equations, and the linearized gravity equations.

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Juha Pohjanpelto, Stephen C. Anco. 2008-01-12. Generalized Symmetries of Massless Free Fields on Minkowski Space. https://doi.org/10.3842/sigma.2008.004

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