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• W1977394009 abstract "Recently Berman and Perry constructed a four-dimensional $ mathcal{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." @default.
• W1977394009 created "2016-06-24" @default.
• W1977394009 creator A5019891174 @default.
• W1977394009 creator A5062096268 @default.
• W1977394009 date "2013-04-01" @default.
• W1977394009 modified "2023-09-27" @default.
• W1977394009 title "U-geometry: SL(5)" @default.
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• W1977394009 doi "https://doi.org/10.1007/jhep04(2013)147" @default.
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