Maeda, Yoshiaki and Sako, Akifumi (2008) Noncommutative deformation of instantons. Journal of Geometry and Physics, Vol.58 (No.12). pp. 1784-1791. doi:10.1016/j.geomphys.2008.08.006

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Abstract

We study instanton solutions on noncommutative Euclidean 4-space which are deformations of instanton solutions on commutative Euclidean 4-space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanton number in R-4 is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T-4 with twisted boundary conditions. (C) 2008 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Noncommutative rings, Geometry, Algebraic, Noncommutative differential geometry, Instantons, Yang-Mills theory
Journal or Publication Title:	Journal of Geometry and Physics
Publisher:	Elsevier Science BV
ISSN:	0393-0440
Official Date:	December 2008
Dates:	Date Event December 2008 Published
Volume:	Vol.58
Number:	No.12
Number of Pages:	8
Page Range:	pp. 1784-1791
DOI:	10.1016/j.geomphys.2008.08.006
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	KAKENHI
Grant number:	18204006 (KAKENHI), 20740049 (KAKENHI)

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