Lagrangian Formulation for Free Mixed-Symmetry Bosonic Gauge Fields in (A)dS(d)

TL;DR

This paper develops a covariant Lagrangian framework for free bosonic mixed-symmetry gauge fields in (A)dS(d) space, extending higher-spin field theories with a differential complex approach.

Contribution

It introduces a novel covariant Lagrangian formulation for mixed-symmetry bosonic fields in (A)dS(d), utilizing a differential complex and frame-like formalism.

Findings

Constructed gauge-invariant actions for mixed-symmetry fields.

Revealed additional gauge symmetries in the flat limit.

Connected gauge symmetries in (A)dS(d) to Minkowski space structures.

Abstract

Covariant Lagrangian formulation for free bosonic massless fields of arbitrary mixed-symmetry type in (A)dS(d) space-time is presented. The analysis is based on the frame-like formulation of higher-spin field dynamics [1] with higher-spin fields described as p-forms taking values in appropriate modules of the (A)dS(d). The problem of finding free field action is reduced to the analysis of an appropriate differential complex, with the derivation Q associated with the variation of the action. The constructed action exhibits additional gauge symmetries in the flat limit in agreement with the general structure of gauge symmetries for mixed-symmetry fields in Minkowski and (A)dS(d) spaces.