Conserved higher-spin charges in AdS4

Gauge invariant conserved conformal currents built from massless fields of all spins in 4d Minkowski space–time and AdS4AdS4 are described in 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.