The effective action of Double Field Theory

TL;DR

This paper derives the four-dimensional effective action of Double Field Theory through a generalized Scherk-Schwarz reduction, linking it to gauged supergravity and string backgrounds, revealing a higher-dimensional origin of fluxes.

Contribution

It provides an explicit derivation of the effective action of Double Field Theory and connects it to gauged supergravity via generalized fluxes.

Findings

Exact reproduction of bosonic electric sector of gauged N=4 supergravity

Explicit expressions for gaugings in terms of twists

Analysis of string backgrounds related to the gaugings

Abstract

We perform a generalized Scherk-Schwarz dimensional reduction of Double Field Theory on a twisted double torus. The four dimensional effective action is shown to exactly reproduce the bosonic electric sector of gauged N = 4 supergravity. We present explicit expressions for the gaugings in terms of the twists, and analyze the associated string backgrounds. This framework provides a higher dimensional origin of the gaugings in terms of generalized fluxes.