Diagrammatics of Braided Group Gauge Theory

Details Diagrammatics of Braided Group Gauge Theory Diagrammatics of Braided Group Gauge Theory

1996-03-22

arxiv.org/abs/q-alg/9603018v1

J.Knot Theor.Ramifications 8 (1999) 731-771

Mathematics

Quantum Algebra

LATEX 40 pages with many .eps figures

Scientific paper

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.

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