Non-Geometric Fluxes in Supergravity and Double Field Theory

TL;DR

This paper presents ten-dimensional realizations of non-geometric fluxes in supergravity using double field theory, clarifying their geometric role and connection to four-dimensional gauged supergravities.

Contribution

It introduces a framework for realizing non-geometric fluxes in ten dimensions via field redefinitions and double field theory, enhancing understanding of their geometric interpretation.

Findings

Realization of non-geometric fluxes Q and R in ten dimensions.

Double field theory simplifies flux redefinition calculations.

Discussion of the relation to four-dimensional gauged supergravities.

Abstract

In this paper we propose ten-dimensional realizations of the non-geometric fluxes Q and R. In particular, they appear in the NSNS Lagrangian after performing a field redefinition that takes the form of a T-duality transformation. Double field theory simplifies the computation of the field redefinition significantly, and also completes the higher-dimensional picture by providing a geometrical role for the non-geometric fluxes once the winding derivatives are taken into account. The relation to four-dimensional gauged supergravities, together with the global obstructions of non-geometry, are discussed.