Discrete torsion in gauging non-invertible symmetries

A Perez-Lona - Journal of Geometry and Physics, 2025 - Elsevier
In this paper we discuss generalizations of discrete torsion to noninvertible symmetries in 2d
QFTs. One point of this paper is to explain that there are two complementary generalizations …

-Bundles

S Bunk - arXiv preprint arXiv:2308.04196, 2023 - arxiv.org
Higher bundles are homotopy coherent generalisations of classical fibre bundles. They
appear in numerous contexts in geometry, topology and physics. In particular, higher …

How an action that stabilizes a bundle gerbe gives rise to a Lie group extension

B Janssens, P Kristel - arXiv preprint arXiv:2401.13453, 2024 - arxiv.org
Let $\mathcal {G} $ be a bundle gerbe with connection on a smooth manifold $ M $, and let
$\rho: G\rightarrow\operatorname {Diff}(M) $ be a smooth action of a Fr\'echet--Lie group $ G …