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arxiv: 1901.07775 · v3 · submitted 2019-01-23 · ✦ hep-th · math-ph· math.DG· math.MP· math.SG

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Fluxes in Exceptional Field Theory and Threebrane Sigma-Models

Athanasios Chatzistavrakidis , Larisa Jonke , Dieter Lust , Richard J. Szabo
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classification ✦ hep-th math-phmath.DGmath.MPmath.SG
keywords compactificationsexceptionalfluxesfieldgeneralizedhigherm-theorysigma-models
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Starting from a higher Courant bracket associated to exceptional generalized geometry, we provide a systematic derivation of all types of fluxes and their Bianchi identities for four-dimensional compactifications of M-theory. We show that these fluxes may be understood as generalized Wess-Zumino terms in certain topological threebrane sigma-models of AKSZ-type, which relates them to the higher structure of a Lie algebroid up to homotopy. This includes geometric compactifications of M-theory with G-flux and on twisted tori, and also its compactifications with non-geometric Q- and R-fluxes in specific representations of the U-duality group SL(5) in exceptional field theory.

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