Nonassociative differential geometry and gravity with non-geometric fluxes

Paolo Aschieri, Marija Dimitrijević Ćirić, Richard J. Szabo

Research output: Contribution to journalArticle

6 Citations (Scopus)
22 Downloads (Pure)

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.

Original languageEnglish
Article number36
JournalJournal of High Energy Physics
Volume2018
Issue number2
Early online date6 Feb 2018
DOIs
Publication statusPublished - Feb 2018

Keywords

  • Flux compactifications
  • Models of Quantum Gravity
  • Non-Commutative Geometry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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