Off-shell higher-spin fields in $AdS_{4}$ 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.
Keywords
Cite
@article{arxiv.2012.06570,
title = {Off-shell higher-spin fields in $AdS_{4}$ and external currents},
author = {N. G. Misuna},
journal= {arXiv preprint arXiv:2012.06570},
year = {2022}
}
Comments
32 pages. V4: minor typos corrected; short representation-theoretic discussions of results added on pp. 10, 12, 25, 26, 29. To appear in JHEP