English

Fluxes in Exceptional Field Theory and Threebrane Sigma-Models

High Energy Physics - Theory 2019-06-05 v3 Mathematical Physics Differential Geometry math.MP Symplectic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1901.07775,
  title  = {Fluxes in Exceptional Field Theory and Threebrane Sigma-Models},
  author = {Athanasios Chatzistavrakidis and Larisa Jonke and Dieter Lust and Richard J. Szabo},
  journal= {arXiv preprint arXiv:1901.07775},
  year   = {2019}
}

Comments

34 pages; v2: modified fluxes in Section 6, references added; v3: minor corrections, references added; Final version published in JHEP

R2 v1 2026-06-23T07:19:29.681Z