Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere
Mathematical Physics
2009-11-07 v2 High Energy Physics - Theory
math.MP
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0105033,
title = {Fuzzy Line Bundles, the Chern Character and Topological Charges over the Fuzzy Sphere},
author = {Harald Grosse and Christian W. Rupp and Alexander Strohmaier},
journal= {arXiv preprint arXiv:math-ph/0105033},
year = {2009}
}
Comments
Latex2e, 13 pages, 1 figure. This paper continues and supersedes math-ph/0103003. v2: Typos corrected