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

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arxiv 2012.06570 v4 pith:KZBYF7PT submitted 2020-12-11 hep-th

classification hep-th
keywords systemunfoldedequationsfieldsfronsdalhigher-spinoff-shellarbitrary
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Unfolded hypermultiplet in harmonic superspace

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    A single unfolded first-order system reproduces the massless hypermultiplet in harmonic, N=2, N=1, and Minkowski formulations.

  2. Dirac Singleton as a Relativistic Field Beyond Standard Model

    hep-th 2025-05 conditional novelty 6.0 of 10

    Dirac singletons are reformulated as nonlocal relativistic fields in (A)dS space-time with new Lagrangians, opening a speculative route to dark matter and baryogenesis.

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