Higher geometry for non-geometric T-duals
Algebraic Topology
2022-02-25 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1804.00677,
title = {Higher geometry for non-geometric T-duals},
author = {Thomas Nikolaus and Konrad Waldorf},
journal= {arXiv preprint arXiv:1804.00677},
year = {2022}
}
Comments
57 pages, v2: typos corrected; v2 is the final and published version