Generalized Symmetries of Massless Free Fields on Minkowski Space

Details Generalized Symmetries of Massless Free Fields on Minkowski Space Generalized Symmetries of Massless Free Fields on Minkowski Space

2008-01-12

arxiv.org/abs/0801.1892v1

SIGMA 4:004,2008

Physics

Mathematical Physics

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.004

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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