Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-06-28
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, LaTeX. v3: Minor revision for clarification. Reference added
Scientific paper
We study the topological properties of fuzzy sphere. We show that the topological charge is only defined modulo N+1, that is finite integer quotient Z_{N+1}, where N is a cut-off spin of fuzzy sphere. This periodic structure on topological charges is shown based on the boson realizations of SU(2) algebra, Schwinger vs. Holstein-Primakoff. We argue that this result can have a natural K-theory interpretation and the topological charges on fuzzy sphere can be classified by the twisted K-theory. We also outline how solitons on fuzzy sphere can realize D-brane solitons in the presence of Neveu-Schwarz fivebranes proposed by Harvey and Moore.
Chan Chuan-Tsung
Chen Chiang-Mei
Yang Hyun Seok
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