Quantum Principal Bundles and Corresponding Gauge Theories
arXiv:q-alg/9507021 · doi:10.1088/0305-4470/30/6/025
Abstract
A generalization of classical gauge theory is presented, in the framework of a noncommutative-geometric formalism of quantum principal bundles over smooth manifolds. Quantum counterparts of classical gauge bundles, and classical gauge transformations, are introduced and investigated. A natural differential calculus on quantum gauge bundles is constructed and analyzed. Kinematical and dynamical properties of corresponding gauge theories are discussed.
28 pages, AMS-LaTeX
References in corpus (10)
- Quantum group gauge theory on quantum spaces
- Geometry of Quantum Principal Bundles I
- Strong Connections on Quantum Principal Bundles
- Quantum Group Gauge Theory on Classical Spaces
- Geometry of Quantum Principal Bundles II-Extended Version
- SU_q(n) Gauge Theory
- Characteristic Classes of Quantum Principal Bundles
- Quantum Principal Bundles
- Classical Spinor Structures on Quantum Spaces
- Quantum Principal Bundles and Tannaka-Krein Duality Theory
Cited by in corpus (7)
- Geometry of Quantum Principal Bundles I
- Strong Connections and Chern-Connes Pairing in the Hopf-Galois Theory
- SU_q(n) Gauge Theory
- Piecewise principal comodule algebras
- Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles
- Generalized Noiseless Quantum Codes utilizing Quantum Enveloping Algebras
- Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries