Spinor description of D = 5 massless low-spin gauge fields

Abstract

Spinor description for the curvatures of D = 5 Yang–Mills, Rarita–Schwinger and gravitational fields is elaborated. Restrictions imposed on the curvature spinors by the dynamical equations and Bianchi identities are analyzed. In the absence of sources symmetric curvature spinors with indices obey first-order equations that in the linearized limit reduce to Dirac-type equations for massless free fields. These equations allow for a higher-spin generalization similarly to case. Their solution in the form of the integral over Lorentz-harmonic variables parametrizing coset manifold isomorphic to the three-sphere is considered. Superparticle model that contains such Lorentz harmonics as dynamical variables, as well as harmonics parametrizing the two-sphere is proposed. The states in its spectrum are given by the functions on S3 that upon integrating over the Lorentz harmonics reproduce on-shell symmetric curvature spinors for various supermultiplets of D = 5 space–time supersymmetry.