A ten-dimensional action for non-geometric fluxes

TL;DR

This paper reformulates ten-dimensional supergravity using generalized geometry to include non-geometric fluxes, providing a well-defined action that facilitates dimensional reduction and analysis of Q-flux effects.

Contribution

It introduces a new ten-dimensional action incorporating non-geometric Q-flux through a change of variables inspired by Generalized Complex Geometry.

Findings

Derived a new metric and bivector field representing Q-flux

Successfully performed dimensional reduction to recover Q-flux contributions

Discussed potential extension to include R-flux

Abstract

The NSNS Lagrangian of ten-dimensional supergravity is rewritten via a change of field variables inspired by Generalized Complex Geometry. We obtain a new metric and dilaton, together with an antisymmetric bivector field which leads to a ten-dimensional version of the non-geometric Q-flux. Given the involved global aspects of non-geometric situations, we prescribe to use this new Lagrangian, whose associated action is well-defined in some examples investigated here. This allows us to perform a standard dimensional reduction and to recover the usual contribution of the Q-flux to the four-dimensional scalar potential. An extension of this work to include the R-flux is discussed. The paper also contains a brief review on non-geometry.