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Noncommutative deformation of instantons |
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| Authors: | Yoshiaki Maeda Akifumi Sako |
| Affiliation: | 1. Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan;2. Mathematical Research Centre, University of Warwick, Coventry CV4 7AL, United Kingdom;3. Department of General Education, Kushiro National College of Technology, Otanoshike-Nishi 2-32-1, Kushiro 084-0916, Japan |
| 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. |
| Keywords: | 53D55 81T75 81T13 |
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