CP n model on fuzzy sphere

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

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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
Issue number1-2
StatePublished - 18 Mar 2002


Dive into the research topics of 'CP n model on fuzzy sphere'. Together they form a unique fingerprint.

Cite this