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 R4 is preserved for general noncommutative deformations. We also study noncommutative deformation of instanton solutions on a T4 with twisted boundary conditions.
Original language | English |
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Pages (from-to) | 1784-1791 |
Number of pages | 8 |
Journal | Journal of Geometry and Physics |
Volume | 58 |
Issue number | 12 |
DOIs | |
Publication status | Published - 2008 Dec |
Externally published | Yes |
Keywords
- Instanton
- Noncommutative geometry
- Yang-Mills theory
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology