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High Energy Physics - Theory, hep-th
Abstract:
We construct a Lorentz 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 duality
symmetries which exchange the roles of physical and auxiliary $p-$form fields.
Same type of actions are available for duality-symmetric formulations, which is
demonstrated on the example of 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. Similarly to PST, our models
are available only in spaces of Minkowski signature.
