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U-geometry : SL(5)

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arxiv 1302.1652 v3 pith:2VOJR6WI submitted 2013-02-07 hep-th math.DG

Jeong-Hyuck Park , Yoonji Suh This is my paper · ORCID
classification hep-thmath.DG
keywords actioncovarianteffectivefullygeometryu-geometryanti-symmetrizingappropriately
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Recently Berman and Perry constructed a four-dimensional M-theory effective action which manifests SL(5) U-duality. Here we propose an underlying differential geometry of it, under the name `SL(5) U-geometry' which generalizes the ordinary Riemannian geometry in an SL(5) compatible manner. We introduce a `semi-covariant' derivative that can be converted into fully covariant derivatives after anti-symmetrizing or contracting the SL(5) vector indices appropriately. We also derive fully covariant scalar and Ricci-like curvatures which constitute the effective action as well as the equation of motion.

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  1. Tensor hierarchy algebras and extended geometry II: Gauge structure and dynamics

    hep-th 2019-08 conditional novelty 6.0 of 10

    The gauge structure and pseudo-action of extended geometry with ancillary transformations are encoded by a tensor hierarchy algebra S(g+), yielding a partial L-infinity description for finite-dimensional structure groups.

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