On Covariant Actions for Chiral $p-$Forms

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.

19 pages. Published version with minor corrections

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• Flows in the Space of Interacting Chiral Boson Theories
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• Hidden Conformal Symmetry of the Discrete Series Scalars in dS${}_2$
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• Massless chiral fields in six dimensions
• Democratic Lagrangians for Nonlinear Electrodynamics
• Nonlinear (chiral) p-form electrodynamics
• Coupling of Branes and Twisted Self-Duality in the Maxwell-Chern-Simons Theory
• Monopoles, Clarified
• Nonlinear chiral forms in the Sen formulation
• A Path Integral for the Chiral-Form Partition Function