@article{3e8ed918e78044f79a3852c25a7a34f7,

title = "CP n model on fuzzy sphere",

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.",

author = "Chan, {Chuan Tsung} and Chen, {Chiang Mei} and Lin, {Feng Li} and Yang, {Hyun Seok}",

note = "Funding Information: We are grateful to Pei-Ming Ho and Miao Li for helpful discussions. F.L.L. likes to thank Bin Chen for discussions. H.S.Y. also thanks Bum-Hoon Lee and Kimyeong Lee for discussions. Two of us are supported by NSC (C.T.C.: NCS89-2112-M-009-006 and H.S.Y.: NCS89-2811-M-002-0095). C.M.C. is supported by the CosPA project of the Ministry of Education, Taiwan. F.L.L. is supported by BK-21 Initiative in Physics (SNU-Project 2). We also acknowledge NCTS as well as CTP at Taida for partial support. ",

year = "2002",

month = mar,

day = "18",

doi = "10.1016/S0550-3213(02)00028-7",

language = "English",

volume = "625",

pages = "327--344",

journal = "Nuclear Physics B",

issn = "0550-3213",

publisher = "Elsevier",

number = "1-2",

}