Higher geometry for 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.

57 pages, v2: typos corrected; v2 is the final and published version

References in corpus (5)

• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• On the Topology and Flux of T-Dual Manifolds
• T-duality for principal torus bundles
• Semistrict Higher Gauge Theory
• T-Duality from super Lie n-algebra cocycles for super p-branes

Cited by in corpus (6)

• Symmetry as a shadow of topological order and a derivation of topological holographic principle
• Born Sigma-Models for Para-Hermitian Manifolds and Generalized T-Duality
• Higher Gauge Theory
• Towards an extended/higher correspondence -- Generalised geometry, bundle gerbes and global Double Field Theory
• Explicit Non-Abelian Gerbes with Connections
• Gerbes in Geometry, Field Theory, and Quantisation