# On unfolded off-shell formulation for higher-spin theory

## TL;DR

This paper develops an unfolded off-shell formulation for free massless higher-spin fields in 4d Minkowski space, incorporating external currents and interpreting the system as Schwinger-Dyson equations to recover two-point functions.

## Contribution

It introduces a novel unfolded off-shell framework for higher-spin fields that includes external currents and connects to Schwinger-Dyson equations.

## Key findings

- Unfolded off-shell formulation for higher-spin fields in 4d Minkowski space.
- Description of external higher-spin currents within the unfolded framework.
- Restoration of two-point functions via Schwinger-Dyson equations.

## Abstract

We present an unfolded off-shell formulation for free massless higher-spin fields in 4d Minkowski space in terms of spinorial variables. This system arises from the on-shell one by the addition of external higher-spin currents, for which we find an unfolded description. Also we show that this off-shell system can be interpreted as Schwinger-Dyson equations and restore two-point functions of higher-spin fields this way.