NS-NS fluxes in Hitchin's generalized geometry

Abstract

The standard notion of NS-NS 3-form flux is lifted to Hitchin's generalized geometry. This generalized flux is given in terms of an integral of a modified Nijenhuis operator over a generalized 3-cycle. Explicitly evaluating the generalized flux in a number of familiar examples, we show that it can compute three-form flux, geometric flux and non-geometric Q-flux. Finally, a generalized connection that acts on generalized vectors is described and we show how the flux arises from it.

21 pages, 1 figure; v3: minor changes

References in corpus (8)

• Doubled Geometry and T-Folds
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Flux Compactifications of M-Theory on Twisted Tori
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• Effective descriptions of branes on non-geometric tori
• Generalized complex geometry and supersymmetric non-linear sigma models
• A brief review of supersymmetric non-linear sigma models and generalized complex geometry

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