Topological Z_{N+1} Charges on Fuzzy Sphere
High Energy Physics - Theory
2016-09-06 v3
Abstract
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.
Cite
@article{arxiv.hep-th/0106269,
title = {Topological Z_{N+1} Charges on Fuzzy Sphere},
author = {Chuan-Tsung Chan and Chiang-Mei Chen and Hyun Seok Yang},
journal= {arXiv preprint arXiv:hep-th/0106269},
year = {2016}
}
Comments
22 pages, LaTeX. v3: Minor revision for clarification. Reference added