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arXiv · 1710.11467

Nonassociative differential geometry and gravity with non-geometric fluxes

Paolo Aschieri·Marija Dimitrijevic Ciric·Richard J. Szabo
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Abstract

We systematically develop the metric aspects of nonassociative differential geometry tailored to the parabolic phase space model of constant locally non-geometric closed string vacua, and use it to construct preliminary steps towards a nonassociative theory of gravity on spacetime. We obtain explicit expressions for the torsion, curvature, Ricci tensor and Levi-Civita connection in nonassociative Riemannian geometry on phase space, and write down Einstein field equations. We apply this formalism to construct R-flux corrections to the Ricci tensor on spacetime, and comment on the potential implications of these structures in non-geometric string theory and double field theory.

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Paolo Aschieri, Marija Dimitrijevic Ciric, Richard J. Szabo. 2017-10-31. Nonassociative differential geometry and gravity with non-geometric fluxes. https://doi.org/10.1007/jhep02(2018)036

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