Projective modules over the fuzzy four-sphere

Details Projective modules over the fuzzy four-sphere Projective modules over the fuzzy four-sphere

2002-10-17

arxiv.org/abs/hep-th/0210166v1

Mod.Phys.Lett. A17 (2002) 2189-2198

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX, no figures

Scientific paper

10.1142/S021773230200868X

We describe how to reduce the fuzzy four-sphere algebra to a set of four
independent raising and lowering oscillator operators. In terms of them we
derive the projector valued operators for the fuzzy four-sphere, which are the
global definition of k-instanton connections over this noncommutative base
manifold.

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