English

Higher Gauge Theory

High Energy Physics - Theory 2025-08-07 v2 Mathematical Physics Differential Geometry math.MP

Abstract

This is an invited survey article on higher gauge theory for the Encyclopedia of Mathematical Physics, 2nd edition. In particular, we provide a lightning introduction to higher structures and to the construction of the kinematical data of higher gauge theories, i.e. connections on higher principal bundles. We also summarise the most important applications and dynamical principles that have appeared in the literature, and we close with comments on related areas.

Keywords

Cite

@article{arxiv.2401.05275,
  title  = {Higher Gauge Theory},
  author = {Leron Borsten and Mehran Jalali Farahani and Branislav Jurco and Hyungrok Kim and Jiri Narozny and Dominik Rist and Christian Saemann and Martin Wolf},
  journal= {arXiv preprint arXiv:2401.05275},
  year   = {2025}
}

Comments

v2: typos fixed, presentation improved, published version

R2 v1 2026-06-28T14:13:22.772Z