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Noncommutative deformation of instantons

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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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Official URL: http://dx.doi.org/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:
DateEvent
December 2008Published
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)

Data sourced from Thomson Reuters' Web of Knowledge

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