Complexification of gauge theories

DOI10.1016/0393-0440(94)00053-0zbMath0904.53025arXivhep-th/9307142OpenAlexW3104886631WikidataQ125289489 ScholiaQ125289489MaRDI QIDQ679522

João N. Tavares, Renate Loll, José M. Mourão

Publication date: 6 January 1999

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

Full work available at URL: https://arxiv.org/abs/hep-th/9307142

zbMATH Keywords

phase spacegauge theorycomplexificationconstraints

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

• \(2+1\)-dimensional gravity as an exactly soluble system
• Orbifolds as configuration spaces of systems with gauge symmetries
• Symmetry and bifurcations of momentum mappings
• Degeneracy in loop variables
• Reduction of symplectic manifolds with symmetry
• Quantization of Chern-Simons gauge theory with complex gauge group
• Completeness of Wilson loop functionals on the moduli space of SL(2,C) and SU(1,1) connections
• Gribov degeneracies: Coulomb gauge conditions and initial value constraints
• A Stratification of the Null Cone Via the Moment Map
• Constraints, reduction, and quantization
• The Self-Duality Equations on a Riemann Surface
• The structure of the solution set for the Yang-Mills equations
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