Unified formulation for helicity and continuous spin fermionic fields

TL;DR

This paper introduces a unified BRST framework for describing massless fermionic fields of various symmetries, encompassing helicity and continuous spin fields, and derives multiple equivalent formulations.

Contribution

It presents the first unified BRST formulation for arbitrary mixed-symmetry massless fermionic fields in Minkowski space, bridging different existing descriptions.

Findings

Unified BRST formulation for fermionic fields of arbitrary symmetry

Derivation of equivalent formulations including triplet and Fang-Fronsdal-Labastida

Framework accommodates both helicity and continuous spin fields

Abstract

We propose a unified BRST formulation of general massless fermionic fields of arbitrary mixed-symmetry type in $d$-dimensional Minkowski space. Depending on the value of the real parameter the system describes either helicity fields or continuous spin fields. Starting with the unified formulation we derive a number of equivalent descriptions including the triplet formulation, Fang-Fronsdal-Labastida formulation, light-cone formulation and discuss the unfolded formulation.