Gauge Non-Invariant Higher-Spin Currents in $Ad{S}_4$

Abstract

Conserved currents of any spin $t>0$ built from bosonic symmetric massless gauge fields of arbitrary integer spins in $Ad{S}_4$ 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.

18 pages; V2: Typos and coefficients corrected, published version; V3: indices, coefficients and spin restrictions corrected in the text from Eq.(68) till Eq.(71); acknowledgement added

References in corpus (5)

• Higher Spin Gauge Theories: Star-Product and AdS Space
• Conformal Higher Spin Currents in Any Dimension and AdS/CFT Correspondence
• Higher-spin current multiplets in operator-product expansions
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• Higher Spin Conformal Currents in Minkowski Space

Cited by in corpus (2)

• Higher Spin Gravities and Presymplectic AKSZ Models
• Bilinear Fronsdal currents in the $Ad{S}_4$ higher-spin theory