# Fluxes in Exceptional Field Theory and Threebrane Sigma-Models

## TL;DR

This paper systematically derives fluxes and their Bianchi identities in M-theory compactifications using exceptional generalized geometry, connecting them to topological threebrane sigma-models and higher algebraic structures.

## Contribution

It provides a unified framework linking fluxes in M-theory to topological sigma-models and higher Lie algebroid structures, including non-geometric fluxes.

## Key findings

- Derived all flux types and Bianchi identities for M-theory compactifications.
- Connected fluxes to topological threebrane sigma-models of AKSZ-type.
- Included geometric and non-geometric fluxes within U-duality representations.

## 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.