Generalized Symmetries of Massless Free Fields on Minkowski Space
Abstract
A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral symmetries of order , 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.
Keywords
Cite
@article{arxiv.0801.1892,
title = {Generalized Symmetries of Massless Free Fields on Minkowski Space},
author = {Juha Pohjanpelto and Stephen C. Anco},
journal= {arXiv preprint arXiv:0801.1892},
year = {2008}
}
Comments
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/