Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds

TL;DR

This paper introduces a universal geometric framework for gauged supergravity using twisted doubled tori, unifying geometric and non-geometric fluxes within string and M-theory compactifications.

Contribution

It presents a novel geometric formulation that captures all flux types via duality twists and provides a method to derive effective geometries in string and M-theory contexts.

Findings

Unified description of geometric and non-geometric fluxes

Application to various flux compactification models

Prescription for extracting effective geometries

Abstract

We propose a universal geometric formulation of gauged supergravity in terms of a twisted doubled torus. We focus on string theory (M-theory) reductions with generalized Scherk-Schwarz twists residing in the O(n,n) (E_{7(7)}) duality group. The set of doubled geometric fluxes, associated with the duality twists and identified naturally with the embedding tensor of gauged supergravity, captures all known fluxes, i.e. physical form fluxes, ordinary geometric fluxes, as well as their non-geometric counterparts. Furthermore, we propose a prescription for obtaining the effective geometry embedded in the string theory twisted doubled torus or in the M-theory megatorus and apply it for several models of geometric and non-geometric flux compactifications.