Topological ZN+1 Charges on Fuzzy Sphere
نویسندگان
چکیده
We study the topological properties on fuzzy sphere. We show that the topological charge is only defined modulo N + 1, that is finite integer quotient ZN+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 of 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. [email protected] [email protected] [email protected]
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