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NS-NS fluxes in Hitchin's generalized geometry

Ian T. Ellwood

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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.

Keywords

String Duality

Flux compactifications

 

E-print Number: hep-th/0612100

Cited: by |

Refers: to

PACS

02.40.-k Geometry, differential geometry, and topology

11.25.Mj Compactification and four-dimensional models

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 12 (December 2007)

Received 5 February 2007, accepted for publication 18 December 2007

Published 21 December 2007



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