# Twistorial and space-time descriptions of massless infinite spin (super)particles and fields

## TL;DR

This paper introduces a new twistorial formulation for massless infinite spin particles and fields, deriving their equations of motion, helicity decomposition, and supersymmetry structure without gauge fixing.

## Contribution

It presents a gauge-free quantization approach, constructs the infinite spin supermultiplet, and formulates the supersymmetry transformations and algebra.

## Key findings

- Constructed twistorial infinite spin field and helicity decomposition.
- Derived space-time infinite spin field equations of motion.
- Established the infinite spin supermultiplet and supersymmetry algebra.

## Abstract

We develop a new twistorial field formulation of a massless infinite spin particle. Unlike our previous approach arXiv:1805.09706, the quantization of such a world-line infinite spin particle model is carried without any gauge fixing. As a result, we construct a twistorial infinite spin field and derive its helicity decomposition. Using the field twistor transform, we construct the space-time infinite (continuous) spin field, which depends on the coordinate four-vector and additional commuting Weyl spinor. The 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 formulated and their on-shell algebra is derived. As a result, we find the field realization of the infinite spin $\mathcal{N}{=}\,1$ supersymmetry.