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.
Highlights
One of the central difficulties of HS gravity is that its full nonlinear action is unknown
We present a reduction of the Fronsdal current system which brings it to the unfolded FierzPauli system describing massive fields of arbitrary integer spin
As we show in subsection 5.1.1, the unfolded system for conserved J admits a reduction to an unfolded system that describes on-shell massive HS fields subjected to Fierz-Pauli conditions
Summary
Unfolded system (2.12) describes a massless scalar field φ(x) in AdS4.1 One sees from (2.15) that CN (Y |x) with N > 0 are descendant fields that form a tower of totally symmetrized traceless derivatives of the primary scalar φ(x). If J is an a priori unknown function, with (2.18) being the only relation involving it, one can treat (2.18) as the definition of J In this case the theory in question can be considered as lying off-shell: it describes two scalar fields, φ(x) and J(x), with primary φ totally unconstrained and descendant J defined by (2.18). Unfolding this system is equivalent to unfolding off-shell scalar φ. That determine the partition function Z and, the whole quantum theory
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
