On geometric equations and duality for free higher spins

TL;DR

This paper presents a general framework for dualizing higher-spin gauge fields across various representations and offers methods to construct corresponding field equations and Lagrangians for these complex fields.

Contribution

It introduces a universal scheme for dualizing higher-spin fields and a recipe for formulating their equations and Lagrangians, expanding the theoretical toolkit for higher-spin theories.

Findings

General dualization scheme for higher-spin fields

Construction method for Fronsdal-like equations

Framework applicable to arbitrary irreducible representations

Abstract

We provide a general scheme for dualizing higher-spin gauge fields in arbitrary irreducible representations of GL(D,R). We also give a recipe for constructing Fronsdal-like field equations and Lagrangians for such exotic fields.