  A new twistorial field formulation of a massless infinite spin particle is
derived. We find a twistorial infinite spin field and derive its helicity
decomposition. The twistorial equations of motion for infinite spin fields in
the cases of integer and half-integer helicities are derived. We show that the
infinite integer-spin field and infinite half-integer-spin field form the
$\mathcal{N}{=}\,1$ infinite spin supermultiplet. The corresponding
supersymmetry transformations are presented. We prove that the supersymmetry
algebra is closed on-shell.

High Energy Physics - Theory