CP n model on fuzzy sphere

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

doi:10.1016/S0550-3213(02)00028-7

CP ⁿ model on fuzzy sphere

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 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 language	English
Pages (from-to)	327-344
Number of pages	18
Journal	Nuclear Physics B
Volume	625
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(02)00028-7
Publication status	Published - 2002 Mar 18
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/S0550-3213(02)00028-7

Cite this

@article{7f54e5862eb64462a0119ab0b5c96abf,

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",

}

TY - JOUR

T1 - CP n model on fuzzy sphere

AU - Chan, Chuan Tsung

AU - Chen, Chiang Mei

AU - Lin, Feng Li

AU - Yang, Hyun Seok

N1 - 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.

PY - 2002/3/18

Y1 - 2002/3/18

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037128458&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037128458&partnerID=8YFLogxK

U2 - 10.1016/S0550-3213(02)00028-7

DO - 10.1016/S0550-3213(02)00028-7

M3 - Article

AN - SCOPUS:0037128458

SN - 0550-3213

VL - 625

SP - 327

EP - 344

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 1-2

ER -

CP ⁿ model on fuzzy sphere

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this