Categorical symmetries of T-duality
Algebraic Topology
2026-05-22 v3 Mathematical Physics
math.MP
Abstract
Topological T-duality correspondences are higher categorical objects that can be classified by a strict Lie 2-group. In this article we compute the categorical automorphism group of this 2-group; hence, the higher-categorical symmetries of topological T-duality. We prove that the categorical automorphism group is a non-central categorical extension of the integral split pseudo-orthogonal group. We show that it splits over several subgroups, and that its k-invariant is 2-torsion.
Cite
@article{arxiv.2202.09187,
title = {Categorical symmetries of T-duality},
author = {Konrad Waldorf},
journal= {arXiv preprint arXiv:2202.09187},
year = {2026}
}
Comments
42pages. v2 has several smaller corrections and an improved introduction. v3 contains further improvements and some minor additions; v3 is the published version