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On Covariant Actions for Chiral p-Forms

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Mkrtchyan,  Karapet
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Mkrtchyan, K. (2019). On Covariant Actions for Chiral p-Forms. Journal of High Energy Physics, 2019(12): 76. doi:10.1007/JHEP12(2019)076.


Cite as: http://hdl.handle.net/21.11116/0000-0004-9C09-3
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.