NS-NS fluxes in Hitchin's generalized geometry | Zendy

Ian Ellwood | Zendy

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NS-NS fluxes in Hitchin's generalized geometry

Author(s) -

Ian Ellwood

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/12/084

Subject(s) - flux (metallurgy) , connection (principal bundle) , geometry , mathematics , operator (biology) , mathematical analysis , physics , biochemistry , chemistry , materials science , repressor , transcription factor , metallurgy , gene

The standard notion of NS-NS 3-form flux is lifted to Hitchin's generalizedgeometry. This generalized flux is given in terms of an integral of a modifiedNijenhuis operator over a generalized 3-cycle. Explicitly evaluating thegeneralized flux in a number of familiar examples, we show that it can computethree-form flux, geometric flux and non-geometric Q-flux. Finally, ageneralized connection that acts on generalized vectors is described and weshow how the flux arises from it.Comment: 21 pages, 1 figure; v3: minor change

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