Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields

TL;DR

This paper develops a gauge-invariant Lagrangian formulation for massive mixed symmetry bosonic fields in (A)dS space, exploring massless and partially massless limits for tensors with specific Young tableau structures.

Contribution

It introduces a novel frame-like gauge invariant approach for massive mixed symmetry bosonic fields with specific Young tableaux, extending previous formulations.

Findings

Constructed complete Lagrangian and gauge transformations.

Analyzed massless and partially massless limits.

Applicable to arbitrary dimension d >= 4.

Abstract

In this paper, as a first step toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields, we consider mixed tensors, corresponding to Young tableau with two rows with k >= 2 boxes in the first row and only one box in the second one. We construct complete Lagrangian and gauge transformations describing massive particles in (anti) de Sitter space-time with arbitrary dimension d >= 4 and investigate all possible massless and partially massless limits.