Remarks on the locality of generalized global symmetries
Mathematical Physics
2025-04-11 v1 High Energy Physics - Theory
Algebraic Topology
math.MP
Abstract
We examine generalized global symmetries as a kind of compactly supported cohomology, and so are led to revisit questions about the locality of quantum field theory, following Segal. Physics naturally suggests a generalization of factorization algebras, aimed at capturing nonperturbative information, and we explain how higher group symmetries offer examples of this generalization, providing an extension of the nonabelian Poincar\'e duality of Salvatore and Lurie. Finally, we explore how continuous generalized symmetries and anomalies can be cast in this framework.
Keywords
Cite
@article{arxiv.2504.05626,
title = {Remarks on the locality of generalized global symmetries},
author = {Owen Gwilliam},
journal= {arXiv preprint arXiv:2504.05626},
year = {2025}
}