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 s ≥ 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 higherorder extensions obtained by Lie differentiation with respect to conformal Killing vectors. In particular, the results yield a complete classification of generalized symmetries of the DiracWeyl neutrino equation, Maxwell's equations, and the linearized gravity equations.
 Publication:

SIGMA
 Pub Date:
 January 2008
 DOI:
 10.3842/SIGMA.2008.004
 arXiv:
 arXiv:0801.1892
 Bibcode:
 2008SIGMA...4..004P
 Keywords:

 generalized symmetries;
 massless free field;
 spinor field;
 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 2430, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/