Diagrammatics of Braided Group Gauge Theory

Abstract

We develop a gauge theory or theory of bundles and connections on them at the level of braids and tangles. Extending recent algebraic work, we provide now a fully diagrammatic treatment of principal bundles, a theory of global gauge transformations, associated braided fiber bundles and covariant derivatives on them. We describe the local structure for a concrete $Z_3$-graded or `anyonic' realization of the theory.

LATEX 40 pages with many .eps figures

References in corpus (2)

• Coalgebra Gauge Theory
• Translation map in quantum principal bundles

Cited by in corpus (4)

• Quantum Geometry and the Planck Scale
• Quantum and braided group Riemannian geometry
• Some Remarks on Quantum and Braided Group Gauge Theory
• Some Remarks on Braided Group Reconstruction and Braided Doubles