Conserved Higher-Spin Charges in $AdS_4$

TL;DR

This paper explores gauge-invariant conserved currents for massless fields of all spins in 4d Minkowski space and $AdS_4$, identifying the associated conserved charges and their relation to higher-spin symmetry algebra.

Contribution

It introduces a comprehensive description of conserved conformal currents and their charges in 4d space-time using unfolded dynamics, linking them to higher-spin symmetry parameters.

Findings

Identified the cohomology of conserved charges in the unfolded dynamics framework.

Matched the conserved charges with the parameters of the conformal higher-spin algebra.

Provided a classification of gauge-invariant conserved currents for all spins.

Abstract

Gauge invariant conserved conformal currents built from massless fields of all spins in 4d Minkowski space-time and $AdS_4$ are described within the unfolded dynamics approach. The current cohomology associated with non-zero conserved charges is found. The resulting list of charges is shown to match the space of parameters of the conformal higher-spin symmetry algebra in four dimensions.