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Magnetic charges in supergravity

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Tomova, Bilyana L 


jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pIn this paper we study the dual charges of jats:inline-formulajats:alternativesjats:tex-math$$ \mathcal{N} $$</jats:tex-math><mml:math xmlns:mml=""> mml:miN</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> = 1 supergravity in asymptotically flat space-time. The action considered is the usual supergravity action with a topological contribution. This is the Nieh-Yan term and the magnetic term of the free Rarita-Schwinger field. Through methods of the covariant phase space formalism we construct the charges conjugate to supersymmetry, diffeomorphism and Lorentz transformations. The additional term in the action will lead to new, non-vanishing contributions to these charges. The magnetic diffeomorphism charges are equivalent to the ones previously found for gravity, while the dual supersymmetric charges are new and do not appear for the free Rarita-Schwinger field. The dual Lorentz charges serve to regularize the previous two. We find that the asymptotic symmetry group for supergravity can only include globally well-defined super-rotations.</jats:p>



Regular Article - Theoretical Physics, Gauge Symmetry, Global Symmetries, Solitons Monopoles and Instantons, Supersymmetric Gauge Theory

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Journal of High Energy Physics

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Springer Science and Business Media LLC