Higher Gauge Theory
Leron Borsten, Mehran Jalali Farahani, Branislav Jurco, Hyungrok Kim, Jiri Narozny, Dominik Rist, Christian Saemann, Martin Wolf
TL;DR
This survey introduces higher gauge theory, explaining higher structures and connections on higher bundles, and reviews key applications and principles in the field.
Contribution
It provides a comprehensive overview of higher gauge theory, including foundational concepts, constructions, and recent developments in applications.
Findings
Summarizes the construction of connections on higher principal bundles
Highlights key applications in mathematical physics
Reviews dynamical principles in higher gauge theories
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.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Cosmology and Gravitation Theories