3 years ago

Nonassociative differential geometry and gravity with non-geometric fluxes.

Paolo Aschieri, Marija Dimitrijevic Ciric, Richard J. Szabo

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.

Publisher URL: http://arxiv.org/abs/1710.11467

DOI: arXiv:1710.11467v1

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