Higher Gauge Theory

Leron Borsten; Mehran J. Farahani; Branislav Jurčo; Hyungrok Kim; Jiří Nárožný; Dominik Rist; Christian Saemann; Martin Wolf

doi:10.1016/B978-0-323-95703-8.00217-2

Higher Gauge Theory

Leron Borsten, Mehran J. Farahani, Branislav Jurčo, Hyungrok Kim, Jiří Nárožný, Dominik Rist, Christian Saemann, Martin Wolf

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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 summarize the most important applications and dynamical principles that have appeared in the literature, and we close with comments on related areas.

Original language	English
Title of host publication	Encyclopedia of Mathematical Physics (Second Edition)
Subtitle of host publication	Volumes 1-5
Editors	Richard Szabo, Martin Bojowald
Place of Publication	Oxford
Publisher	Academic Press
Pages	V4:159-V4:185
Number of pages	27
Volume	4
Edition	2
ISBN (Electronic)	9780323957069
ISBN (Print)	9780323957038
DOIs	https://doi.org/10.1016/B978-0-323-95703-8.00217-2
Publication status	E-pub ahead of print - 3 Oct 2025

Keywords

Higher connections
Higher categories
Adjusted higher algebras
BV formalism
Higher differential geometry
Homotopy algebras
Higher gauge theory
Higher principal bundles
Weil algebra
AKSZ models
Higher algebras
Adjusted higher groups
Higher chern-simons theory
Higher groups
BRST complex

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AU - Jurčo, Branislav

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AU - Rist, Dominik

AU - Saemann, Christian

AU - Wolf, Martin

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KW - Higher categories

KW - Adjusted higher algebras

KW - BV formalism

KW - Higher differential geometry

KW - Homotopy algebras

KW - Higher gauge theory

KW - Higher principal bundles

KW - Weil algebra

KW - AKSZ models

KW - Higher algebras

KW - Adjusted higher groups

KW - Higher chern-simons theory

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Higher Gauge Theory

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