4-D semistrict higher Chern-Simons theory. I

DOI10.1007/JHEP10(2014)079zbMath1333.81272arXiv1406.2197OpenAlexW3099197684WikidataQ125118010 ScholiaQ125118010MaRDI QIDQ271320

Emanuele Soncini, Roberto Zucchini

Publication date: 7 April 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2197

zbMATH Keywords

topological field theoriesgauge symmetrydifferential and algebraic geometryChern-Simons theories

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Topological field theories in quantum mechanics (81T45)

Related Items

Algebraic formulation of higher gauge theory ⋮ Generalized higher gauge theory ⋮ Higher Chern-Simons based on (2-)crossed modules ⋮ Wilson Surfaces for Surface Knots: A Field Theoretic Route to Higher Knots ⋮ Quantum field theoretic representation of Wilson surfaces. I: Higher coadjoint orbit theory ⋮ Supersymmetric Yang-Mills theory as higher Chern-Simons theory ⋮ Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2-gauge transformations ⋮ Quantum field theoretic representation of Wilson surfaces. II: Higher topological coadjoint orbit model ⋮ A new formulation of higher parallel transport in higher gauge theory ⋮ 4-d Chern-Simons theory: higher gauge symmetry and holographic aspects ⋮ A Lie based 4–dimensional higher Chern–Simons theory ⋮ Higher groupoid bundles, higher spaces, and self-dual tensor field equations

Cites Work

• Lie 2-algebra models
• AKSZ models of semistrict higher gauge theory
• Hidden \(Q\)-structure and Lie 3-algebra for non-abelian superconformal models in six dimensions
• Multiple M5-branes, string 2-connections, and 7d nonabelian Chern-Simons theory
• An invitation to higher gauge theory
• Non-Abelian bosonization in two dimensions
• Geometric quantization of Chern-Simons gauge theory
• Quantum field theory and the Jones polynomial
• Introduction to sh Lie algebras for physicists
• Čech cocycles for differential characteristic classes: an \(\infty \)-Lie theoretic construction
• Differential geometry and analysis on CR manifolds
• Differential geometry of gerbes
• Semistrict higher gauge theory
• Note on a previous paper entitled 'On adding relations to homotopy groups'
• The Geometry of the Master Equation and Topological Quantum Field Theory
• String Theory and M-Theory
• L-infinity algebra connections and applications to String- and Chern-Simons n-transport
• String Theory
• Introduction to the geometry ofCR-manifolds
• D-Branes
• Strongly homotopy lie algebras
• A HIGHER CHERN–WEIL DERIVATION OF AKSZ σ-MODELS
• Characteristic classes associated to Q-bundles
• Quantum Gravity
• A UNIFORM COHOMOLOGY THEORY FOR ALGEBRAS
• Loop spaces, characteristic classes and geometric quantization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item