Higher Gauge Theory

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.

v2: typos fixed, presentation improved, published version

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Cited by in corpus (7)

• Flux Quantization
• Strings as Hyper-Fractons
• Massless chiral fields in six dimensions
• Out-of-time-order asymptotic observables are quasi-isomorphic to time-ordered amplitudes
• Extremal Black Holes from Homotopy Algebras
• Adjusting Higher Chern-Simons Theory
• Shifted Poisson structures on higher Chevalley-Eilenberg algebras