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On Covariant Actions for Chiral $p-$Forms

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arxiv 1908.01789 v2 pith:FRSY2X5R submitted 2019-08-05 hep-th

classification hep-th
keywords fieldformactionactionsauxiliarychiralcovariantfields
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct a Lorentz and generally covariant, polynomial action for free chiral $p-$forms, classically equivalent to the Pasti-Sorokin-Tonin (PST) formulation. The minimal set up requires introducing an auxiliary $p-$form on top of the physical gauge $p-$form and the PST scalar. The action enjoys multiple duality symmetries, including those that exchange the roles of physical and auxiliary $p-$form fields. Actions of the same type are available for duality-symmetric formulations, which is demonstrated on the example of the electromagnetic field in four dimensions. There, the degrees of freedom of a single Maxwell field are described employing four distinct vector gauge fields and a scalar field.

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Cited by 4 Pith papers

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

  1. Compactifying the Sen Action: Six Dimensions

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Compactification of the two-metric Sen action requires zero modes from both KK towers but preserves correct on-shell degrees of freedom without doubling.

  2. Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity

    hep-th 2025-01 conditional novelty 6.0 of 10

    Boundary reduction of 3d higher-spin Chern-Simons gravity yields covariant and gauge-fixed higher-derivative chiral-scalar actions for arbitrary spin s, with a factorized kinetic operator and special zero-mode backgrounds.

  3. Semiclassical quantization of M5 brane probes wrapped on $\textrm{AdS}_3\times S^3$ and defect anomalies

    hep-th 2024-11 conditional novelty 6.0 of 10

    One-loop free energies of the three AdS3 x S3 M5 brane probes vanish, confirming the absence of order N^0 terms in the defect b-anomaly coefficients.

  4. Type IIB Supergravity Action and Holography

    hep-th 2026-03 accept novelty 5.5 of 10

    A milder topological correction to the PST Type IIB action yields non-vanishing on-shell values matching holography for Lunin-Maldacena and AdS4 S-fold backgrounds.

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