On Massive Mixed Symmetry Tensor Fields in Minkowski Space and (A)dS

TL;DR

This paper develops explicit gauge-invariant Lagrangian formulations for massive mixed symmetry tensor fields in Minkowski and (A)dS spaces, analyzing massless and partially massless limits.

Contribution

It provides the first comprehensive gauge-invariant Lagrangian formulations for massive mixed symmetry tensors in both Minkowski and (A)dS backgrounds, including massless and partially massless cases.

Findings

Explicit gauge-invariant Lagrangians constructed for various mixed symmetry tensors.

Analysis of massless and partially massless limits in (A)dS spaces.

Framework applicable to a range of mixed symmetry tensor theories.

Abstract

In this paper we give explicit gauge invariant Lagrangian formulation for massive theories based on mixed symmetry tensors \Phi_{[\mu\nu],\alpha}, T_{[\mu\nu\alpha],\beta} and R_{[\mu\nu],[\alpha\beta]} both in Minkowski as well as in (Anti) de Sitter spaces. In particular, we study all possible massless and partially massless limits for such theories in (A)dS.