Frame-like gauge invariant formulation for mixed symmetry fermionic fields

TL;DR

This paper develops a gauge-invariant, frame-like formulation for mixed symmetry fermionic fields, extending existing models for bosons, and constructs massive and massless theories in flat and (A)dS spaces with various limits.

Contribution

It introduces a novel gauge-invariant framework for mixed symmetry fermionic fields, generalizing Skvortsov's approach to include massive and (A)dS cases.

Findings

Extended Skvortsov's formulation to fermionic fields.

Constructed gauge-invariant massive theories in (A)dS spaces.

Analyzed massless and partially massless limits.

Abstract

In this paper we consider frame-like formulation for mixed symmetry spin-tensors corresponding to arbitrary Young tableau with two rows. First of all, we extend Skvortsov formulation for massless mixed symmetry bosonic fields in flat Minkowski space to the case of massless fermionic fields. Then, using such massless fields as building blocks, we construct gauge invariant formulation for massive spin-tensors with the same symmetry properties. We give general massive theories in (A)dS spaces with arbitrary cosmological constant and investigate all possible massless and partially massless limits.