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 $2s$ 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 $4d$ case. Their solution in the form of the integral over Lorentz-harmonic variables parametrizing coset manifold $SO(1,4)/(SO(1,1)\times ISO(3))$ 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 $SU(2)/U(1)$ is proposed. The states in its spectrum are given by the functions on $S^3$ that upon integrating over the Lorentz harmonics reproduce on-shell symmetric curvature spinors for various massless supermultiplets of $D=5$ space-time supersymmetry.

LaTeX, 19 pages; v2: comments and references added, typos corrected

References in corpus (7)

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• Amplitudes and Spinor-Helicity in Six Dimensions
• Ambitwistor strings in 4-dimensions
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• Twistor Strings for N=8 Supergravity
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Cited by in corpus (9)

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• BCFW-type recurrent relations for tree amplitudes of D=11 supergravity
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• Ambitwistors, oscillators and massless fields on $Ad{S}_5$
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Ambitwistor Strings in Six and Five Dimensions
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• On 10D SYM superamplitudes