Higher Gauge Theory

Leron Borsten; Mehran Jalali Farahani; Branislav Jurco; Hyungrok Kim; Jiri Narozny; Dominik Rist; Christian Saemann; Martin Wolf

Higher Gauge Theory

Leron Borsten, Mehran Jalali Farahani, Branislav Jurco, Hyungrok Kim, Jiri Narozny, Dominik Rist, Christian Saemann, Martin Wolf

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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.

Original language	English
Journal	Materials Science and Materials Engineering
Publication status	E-pub ahead of print - 10 Jan 2024

Keywords

hep-th
math-ph
math.DG
math.MP

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 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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AU - Borsten, Leron

AU - Farahani, Mehran Jalali

AU - Jurco, Branislav

AU - Kim, Hyungrok

AU - Narozny, Jiri

AU - Rist, Dominik

AU - Saemann, Christian

AU - Wolf, Martin

PY - 2024/1/10

Y1 - 2024/1/10

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

KW - hep-th

KW - math-ph

KW - math.DG

KW - math.MP

UR - https://doi.org/10.48550/arXiv.2401.05275

M3 - Article

JO - Materials Science and Materials Engineering

JF - Materials Science and Materials Engineering

ER -

Higher Gauge Theory

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