Higher geometry for non-geometric T-duals

TL;DR

This paper explores non-geometric T-duals using higher geometry and non-abelian gerbes, enabling the gluing of local T-duals into new higher-geometrical objects, offering an alternative to non-commutative geometry.

Contribution

It introduces a higher-geometrical framework for non-abelian T-duality, allowing for the gluing of local T-duals into globally consistent objects.

Findings

Local T-duals can be glued into higher-geometrical objects.

This approach provides an alternative to non-commutative geometry.

The framework extends the understanding of non-geometric T-duals.

Abstract

We investigate topological T-duality in the framework of non-abelian gerbes and higher gauge groups. We show that this framework admits the gluing of locally defined T-duals, in situations where no globally defined ("geometric") T-duals exists. The gluing results into new, higher-geometrical objects that can be used to study non-geometric T-duals, alternatively to other approaches like non-commutative geometry.