Projectors for the fuzzy sphere

Details Projectors for the fuzzy sphere Projectors for the fuzzy sphere

2001-01-27

arxiv.org/abs/hep-th/0101189v1

Mod.Phys.Lett. A16 (2001) 639-646

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX, no figures

Scientific paper

10.1142/S0217732301003851

All fiber bundle with a given set of characteristic classes are viewable as particular projections of a more general bundle called a universal classifying space. This notion of projector valued field, a global definition of connections and gauge fields, can be useful to define vector bundles for non commutative base spaces. In this paper we derive the projector valued field for the fuzzy sphere, defining non-commutative n-monopole configurations, and check that in the classical limit, using the machinery of non-commutative geometry, the corresponding topological charges (Chern class) are integers.

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