A new formulation of higher parallel transport in higher gauge theory

DOI10.1016/j.geomphys.2015.04.010zbMath1322.81064arXiv1410.0775OpenAlexW1799080932MaRDI QIDQ491936

Roberto Zucchini, Emanuele Soncini

Publication date: 19 August 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0775

zbMATH Keywords

geometrydifferential geometry and topologyquantum field theory in curved space-time

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05)

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Cites Work

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• 4-D semistrict higher Chern-Simons theory. I
• AKSZ models of semistrict higher gauge theory
• The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module
• Smooth functors vs. differential forms
• Surface holonomy for non-Abelian 2-bundles via double groupoids
• An invitation to higher gauge theory
• Pseudo algebras and pseudo double categories
• Parallel transport and functors
• Introduction to sh Lie algebras for physicists
• Higher holonomies: comparing two constructions
• Differential geometry of gerbes
• Wilson surfaces and higher dimensional knot invariants
• Semistrict higher gauge theory
• Connections on non-abelian Gerbes and their Holonomy
• On two-dimensional holonomy
• String Theory and M-Theory
• Transformation Double Categories Associated to 2-Group Actions
• String Theory
• D-Branes
• Strongly homotopy lie algebras
• General Yang–Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical frameworkorFrom Bianchi identities to twisted Courant algebroids
• Catégories structurées
• Quantum Gravity
• Loop spaces, characteristic classes and geometric quantization

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