Topological ZN+1 Charges on Fuzzy Sphere

Abstract

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… (More)

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