Locally non-geometric fluxes and missing momenta in M-theory

TL;DR

This paper employs exceptional field theory to explore higher-dimensional non-geometric M-theory spaces, revealing new fluxes in the R-R sector and identifying missing momenta linked to mixed symmetry tensors.

Contribution

It introduces a novel set of locally non-geometric fluxes in M-theory beyond the NS-NS sector, expanding the understanding of non-geometric backgrounds and their duality structures.

Findings

Discovery of new non-geometric fluxes in the R-R sector.

Construction of duality chains from twisted tori to non-geometric backgrounds.

Identification of missing momenta associated with mixed symmetry tensors.

Abstract

We use exceptional field theory to describe locally non-geometric spaces of M-theory of more than three dimensions. For these spaces, we find a new set of locally non-geometric fluxes which lie in the R-R sector in the weak-coupling limit and can typically be characterised by mixed symmetry tensors. These spaces thus provide new examples of non-geometric backgrounds which go beyond the NS-NS sector of string theory. Starting from twisted tori we construct duality chains that lead to these new non-geometric backgrounds and we show that, just as in the four-dimensional case, there are missing momenta associated to the mixed symmetry tensors.