Massless Infinite Spin (Super)particles and Fields

A new twistor field formulation of a model of a massless infinite spin particle is proposed. A twistor infinite spin field is found, and its helicity decomposition is obtained. Twistorial equations of motion for infinite spin fields are derived in the cases of integer and half-integer helicities. The infinite integer spin field and infinite half-integer spin field are shown to form an N = 1 infinite spin supermultiplet. The corresponding supersymmetry transformations are presented. It is proved that the supersymmetry algebra is closed on-shell.