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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
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 |
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| Divisions: | Faculty of 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: |
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| 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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