Supersymmetric completion of M-theory 4D-gauge algebra from twisted tori and fluxes

TL;DR

This paper develops a supersymmetric framework for M-theory compactified on twisted tori with fluxes, providing super-curvatures, transformations, and dual formulations relevant for various vacua and compactification spaces.

Contribution

It presents the first supersymmetric completion of the M-theory algebra for compactifications on twisted tori with fluxes, including dual formulations and generalizations beyond group manifolds.

Findings

Derived super-curvatures and supersymmetry transformations for the compactified theory.

Discussed dual formulations related to different gaugings and vacua.

Extended the framework to more general compactification spaces beyond group manifolds.

Abstract

We present the supersymmetric completion of the M-theory free differential algebra resulting from a compactification to four dimensions on a twisted seven-torus with 4-form and 7-form fluxes turned on. The super--curvatures are given and the local supersymmetry transformations derived. Dual formulations of the theory are discussed in connection with classes of gaugings corresponding to diverse choices of vacua. This also includes seven dimensional compactifications on more general spaces not described by group manifolds.