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NS-NS fluxes in Hitchin's generalized geometry

Ian Ellwood
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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.

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Ian Ellwood. 2007-12-17. NS-NS fluxes in Hitchin's generalized geometry. https://doi.org/10.1088/1126-6708%2F2007%2F12%2F084

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