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 › Entry for encyclopedia/dictionary

1 Citation (Scopus)

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
Publisher	Elsevier
Pages	159-185
Number of pages	27
Volume	4
Edition	2nd
ISBN (Print)	9780323957069
DOIs	https://doi.org/10.1016/B978-0-323-95703-8.00217-2
Publication status	Published - 2025

Keywords

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

ASJC Scopus subject areas

General Mathematics

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

Cite this

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

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

author = "Leron Borsten and Farahani, {Mehran j.} and Branislav Jur{\v c}o and Hyungrok Kim and Ji{\v r}{\'i} N{\'a}ro{\v z}n{\'y} and Dominik Rist and Christian Saemann and Martin Wolf",

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doi = "10.1016/B978-0-323-95703-8.00217-2",

language = "English",

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T1 - Higher Gauge Theory

AU - Borsten, Leron

AU - Farahani, Mehran j.

AU - Jurčo, Branislav

AU - Kim, Hyungrok

AU - Nárožný, Jiří

AU - Rist, Dominik

AU - Saemann, Christian

AU - Wolf, Martin

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - AKSZ models

KW - Adjusted higher algebras

KW - Adjusted higher groups

KW - BRST complex

KW - BV formalism

KW - Higher algebras

KW - Higher categories

KW - Higher chern-simons theory

KW - Higher connections

KW - Higher differential geometry

KW - Higher gauge theory

KW - Higher groups

KW - Higher principal bundles

KW - Homotopy algebras

KW - Weil algebra

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DO - 10.1016/B978-0-323-95703-8.00217-2

M3 - Entry for encyclopedia/dictionary

SN - 9780323957069

VL - 4

SP - 159

EP - 185

BT - Encyclopedia of Mathematical Physics

PB - Elsevier

ER -

Higher Gauge Theory

Abstract

Keywords

ASJC Scopus subject areas

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