Gauge Non-Invariant Higher-Spin Currents in $AdS_4$

TL;DR

This paper constructs conserved higher-spin currents in $AdS_4$ from massless gauge fields, which, despite not being gauge invariant themselves, produce gauge-invariant conserved charges, extending known results from Minkowski space.

Contribution

It introduces a method to build conserved higher-spin currents in $AdS_4$ that generate gauge-invariant charges, generalizing previous Minkowski space findings.

Findings

Constructed conserved higher-spin currents in $AdS_4$

Currents are not gauge invariant but produce gauge-invariant charges

Extends higher-spin current theory from Minkowski to AdS space

Abstract

Conserved currents of any spin $t>0$ built from bosonic symmetric massless gauge fields of arbitrary integer spins in $AdS_4$ are found. Analogously to the case of $4d$ Minkowski space, currents considered in this paper are not gauge invariant but generate gauge invariant conserved charges.