Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere

Details Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere

2001-05-23

arxiv.org/abs/math-ph/0105033v2

J.Geom.Phys. 42 (2002) 54-63

Physics

Mathematical Physics

Latex2e, 13 pages, 1 figure. This paper continues and supersedes math-ph/0103003. v2: Typos corrected

Scientific paper

10.1016/S0393-0440(01)00072-9

Using the theory of quantized equivariant vector bundles over compact coadjoint orbits we determine the Chern characters of all noncommutative line bundles over the fuzzy sphere with regard to its derivation based differential calculus. The associated Chern numbers (topological charges) arise to be non-integer, in the commutative limit the well known integer Chern numbers of the complex line bundles over the 2-sphere are recovered.

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