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On Covariant Actions for Chiral $p-$Forms
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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.
Forward citations
Cited by 4 Pith papers
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Compactifying the Sen Action: Six Dimensions
Compactification of the two-metric Sen action requires zero modes from both KK towers but preserves correct on-shell degrees of freedom without doubling.
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Higher-order chiral scalar from boundary reduction of 3d higher-spin gravity
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.
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Semiclassical quantization of M5 brane probes wrapped on $\textrm{AdS}_3\times S^3$ and defect anomalies
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.
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Type IIB Supergravity Action and Holography
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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