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Supersymmetric action for 6D $(4,0)$ supergravity

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arxiv 2206.04100 v2 pith:RQ6OHPWL submitted 2022-06-08 hep-th

classification hep-th
keywords actionfieldssupergravitysupersymmetricbosoniccompletecoordinatesderived
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abstract

We give a linearized but otherwise complete supersymmetric action for ${\cal N}=(4,0)$ supergravity in six dimensions, using a Kaluza-Klein-type $5+1$ split of coordinates and fields. We provide in particular a significantly simplified version of the bosonic action derived by us recently. This formulation employs fields that are no longer irreducible, subject to a local Lorentz invariance, which in turn simplifies the supersymmetry transformations including the exotic gravitino.

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Cited by 1 Pith paper

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  1. Exotic gravity theory in loop space

    hep-th 2024-12 conditional novelty 5.0 of 10

    Hull's exotic C-field and its curvature G are reformulated as an ultra-local metric and curvature on loop space.

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