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 $s\ge 1/2$ 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.

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/

References in corpus (4)

• Classification of Generalized Symmetries for the Vacuum Einstein Equations
• Group foliation and non-invariant solutions of the heavenly equation
• Conserved currents of massless fields of spin s>0
• Classification of local conservation laws of Maxwell's equations

Cited by in corpus (7)

• Manifestly Conformal Descriptions and Higher Symmetries of Bosonic Singletons
• Notes on conformal invariance of gauge fields
• Singletons and their maximal symmetry algebras
• Deformations of vector-scalar models
• Lagrange Anchor and Characteristic Symmetries of Free Massless Fields
• $A_{\infty }$ Algebras from Slightly Broken Higher Spin Symmetries
• Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation