CP n model on fuzzy sphere

Chuan Tsung Chan, Chiang Mei Chen, Feng Li Lin, Hyun Seok Yang

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We construct the CP n model on fuzzy sphere. The Bogomolny bound is saturated by (anti-)self-dual solitons and the general solutions of BPS equation are constructed. The dimension of moduli space describing the BPS solution on fuzzy sphere is exactly the same as that of the commutative sphere or the (noncommutative) plane. We show that in the soliton backgrounds, the number of zero modes of Dirac operator on fuzzy sphere, Atiyah-Singer index, is exactly given by the topological charge of the background solitons.

Original languageEnglish
Pages (from-to)327-344
Number of pages18
JournalNuclear Physics B
Volume625
Issue number1-2
DOIs
Publication statusPublished - 2002 Mar 18

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Chan, C. T., Chen, C. M., Lin, F. L., & Yang, H. S. (2002). CP n model on fuzzy sphere. Nuclear Physics B, 625(1-2), 327-344. https://doi.org/10.1016/S0550-3213(02)00028-7