Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles

Details Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles Quantum Gauge Transformations and Braided Structure on Quantum Principal Bundles

1996-05-05

arxiv.org/abs/q-alg/9605010v1

Mathematics

Quantum Algebra

20 pages, AMS-LaTeX

Scientific paper

It is shown that every quantum principal bundle is braided, in the sense that there exists an intrinsic braid operator twisting the functions on the bundle. A detailed algebraic analysis of this operator is performed. In particular, it turns out that the braiding admits a natural extension to the level of arbitrary differential forms on the bundle. Applications of the formalism to the study of quantum gauge transformations are presented.

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