Off-shell higher-spin fields in $Ad{S}_4$ and external currents

Abstract

We construct an unfolded system for off-shell fields of arbitrary integer spin in 4d anti-de Sitter space. To this end we couple an on-shell system, encoding Fronsdal equations, to external Fronsdal currents for which we find an unfolded formulation. We present a reduction of the Fronsdal current system which brings it to the unfolded Fierz-Pauli system describing massive fields of arbitrary integer spin. Reformulating off-shell higher-spin system as the set of Schwinger-Dyson equations we compute propagators of higher-spin fields in the de Donder gauge directly from the unfolded equations. We discover operators that significantly simplify this computation, allowing a straightforward extraction of wave equations from an unfolded system.

32 pages. V4: minor typos corrected; short representation-theoretic discussions of results added on pp. 10, 12, 25, 26, 29. To appear in JHEP

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Cited by in corpus (4)

• Minimal model of Chiral Higher Spin Gravity
• Higher Spin Gravities and Presymplectic AKSZ Models
• Unfolded Dynamics Approach and Quantum Field Theory
• On the variational principle in the unfolded dynamics