On 3-gauge transformations, 3-curvatures, and Gray-categories

DOI10.1063/1.4870640zbMath1300.81065arXiv1311.3796OpenAlexW3102161161MaRDI QIDQ5171341

Wei Wang

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3796

zbMATH Keywords

crossed modulelax natural transformations3-lattice gauge theoryGray functorpath 3-groupoidsimplicial 3-complex

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on lattices (81T25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70) Combinatorial aspects of simplicial complexes (05E45)

Related Items (16)

On the global 2-holonomy for a 2-connection on a 2-bundle ⋮ Semistrict higher gauge theory ⋮ 3-form Yang-Mills based on 2-crossed modules ⋮ Canonical gauges in higher gauge theory ⋮ Higher Chern-Simons based on (2-)crossed modules ⋮ ‐Algebras, the BV Formalism, and Classical Fields ⋮ Unnamed Item ⋮ Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2-gauge transformations ⋮ BCF anomaly and higher-group structure in the low energy effective theories of mesons ⋮ Connections on decorated path space bundles ⋮ Global 3-group symmetry and 't Hooft anomalies in axion electrodynamics ⋮ Gauge transformations for categorical bundles ⋮ Higher gauge theories based on 3-groups ⋮ Higher groupoid bundles, higher spaces, and self-dual tensor field equations ⋮ Topological invariant of 4-manifolds based on a 3-group ⋮ Gauge symmetry of the 3BF theory for a generic semistrict Lie three-group

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