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arXiv · 2012.06570

Off-shell higher-spin fields in $AdS_{4}$ and external currents

N. G. Misuna
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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.

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N. G. Misuna. 2020-12-11. Off-shell higher-spin fields in $AdS_{4}$ and external currents. https://doi.org/10.1007/jhep12(2021)172

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