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- W3100519621 abstract "Violating the strong constraint of double field theory, non-geometric fluxes were argued to give rise to noncommutative/nonassociative structures. We derive in a rather pedestrian physicist way a differential geometry on the simplest nonassociative (phase-)space arising for a constant non-geometric R-flux. This provides a complementary presentation to the quasi-Hopf representation categorial one delivered by Barnes, Schenkel, Szabo in arXiv:1409.6331 + arXiv:1507.02792 . As there, the notions of tensors, covariant derivative, torsion and curvature find a star-generalization. We continue the construction with the introduction of a star-metric and its star-inverse where, due to the nonassociativity, we encounter major deviations from the familiar structure. Comments on the Levi-Civita connection, a star-Einstein-Hilbert action and the relation to string theory are included, as well." @default.
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- W3100519621 date "2016-07-01" @default.
- W3100519621 modified "2023-09-26" @default.
- W3100519621 title "Towards a theory of nonassociative gravity" @default.
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- W3100519621 doi "https://doi.org/10.1007/jhep07(2016)019" @default.
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