Mixed-Symmetry Massless Fields in Minkowski space Unfolded

TL;DR

This paper develops a unique unfolded formulation for massless mixed-symmetry fields in Minkowski space, making all gauge symmetries explicit and providing dual formulations.

Contribution

It constructs a comprehensive unfolded formulation for massless mixed-symmetry fields, ensuring gauge symmetries are manifest and establishing dual descriptions.

Findings

Unfolded equations are covariant constancy conditions.

Gauge fields are differential forms valued in Lorentz tensors.

Formulation applies to both bosonic and fermionic fields.

Abstract

The unfolded formulation for arbitrary massless mixed-symmetry bosonic and fermionic fields in Minkowski space is constructed. The unfolded form is proved to be uniquely determined by the requirement that all gauge symmetries are manifest. The unfolded equations have the form of a covariant constancy condition. The gauge fields and gauge parameters are differential forms with values in certain irreducible Lorentz tensors. The unfolded equations for bosons determine completely those for fermions. The proposed unfolded formulation also contains dual formulations for massless mixed-symmetry fields.