Duality orbits of non-geometric fluxes

TL;DR

This paper classifies T- and U-duality orbits of supergravity gaugings, revealing geometric origins in maximal cases and non-geometric orbits in half-maximal cases derived from double field theory compactifications.

Contribution

It provides a comprehensive classification of duality orbits in supergravity, distinguishing geometric and non-geometric origins, and connects non-geometric orbits to double field theory.

Findings

All orbits in maximal supergravity have geometric origins.

Non-geometric orbits exist in half-maximal supergravity.

Non-geometric orbits are obtained from double field theory compactifications.

Abstract

Compactifications in duality covariant constructions such as generalised geometry and double field theory have proven to be suitable frameworks to reproduce gauged supergravities containing non-geometric fluxes. However, it is a priori unclear whether these approaches only provide a reformulation of old results, or also contain new physics. To address this question, we classify the T- and U-duality orbits of gaugings of (half-)maximal supergravities in dimensions seven and higher. It turns out that all orbits have a geometric supergravity origin in the maximal case, while there are non-geometric orbits in the half-maximal case. We show how the latter are obtained from compactifications of double field theory.