Monopole bundles over fuzzy complex projective spaces
β Scribed by Ursula Carow-Watamura; Harold Steinacker; Satoshi Watamura
- Book ID
- 108137678
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 240 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0393-0440
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π SIMILAR VOLUMES
We derive an explicit expression for an associative \* -product on the fuzzy complex projective space, CP N-1 F . This generalises previous results for the fuzzy 2-sphere and gives a discrete non-commutative algebra of functions on CP N-1 F , represented by matrix multiplication. The matrices are re
We generahze Manton's construction of discrete monopoles in Minkowski space to their analog m CP(n), Topological charge, analogous to the first Chern number in the smooth bundle, is obtained for the corresponding discrete bundle and is shown to be Q = +1. We also discuss the &scretizatlon of the smo