# Superfield continuous spin equations of motion

## TL;DR

This paper develops a manifestly supersymmetric framework for continuous spin representations in 4D Minkowski superspace, unifying integer and half-integer helicities through superfield equations of motion.

## Contribution

It introduces a superspace formulation for continuous spin representations, making supersymmetry and helicity connections explicit at the level of equations of motion.

## Key findings

- Superfield equations reproduce Wigner's conditions for continuous spin.
- Unified description of integer and half-integer helicities in superspace.
- Manifest supersymmetry in continuous spin representation equations.

## Abstract

We propose a description of %manifestly supersymmetric continuous spin representations in $4D,\mathcal{N}=1$ Minkowski superspace at the level of equations of motions. The usual continuous spin wave function is promoted to a chiral or a complex linear superfield which includes both the single-valued (span integer helicities) and the double-valued (span half-integer helicities) representations thus making their connection under supersymmetry manifest. The set of proposed superspace constraints for both superfield generate the expected Wigner's conditions for both representations.

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Source: https://tomesphere.com/paper/1903.08631