English

Non-abelian higher form symmetry

Mathematical Physics 2025-07-29 v2 math.MP

Abstract

Higher form symmetry, one of the generalized symmetries, primarily involves the action of abelian groups. This is, due to the topological nature of symmetry defect operators. In this study, we extend the vector space (or vector bundle) in which the charged operators take values, in order to describe the action of non-abelian groups while preserving this topological property.

Keywords

Cite

@article{arxiv.2504.00504,
  title  = {Non-abelian higher form symmetry},
  author = {Natsuya Kido},
  journal= {arXiv preprint arXiv:2504.00504},
  year   = {2025}
}

Comments

8 pages, 4 figures, typos corrected

R2 v1 2026-06-28T22:41:56.410Z