Noncommutative Deformation of Instantons

Details Noncommutative Deformation of Instantons Noncommutative Deformation of Instantons

2008-05-22

arxiv.org/abs/0805.3373v2

J.Geom.Phys.58:1784-1791,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures, some references and comments are added

Scientific paper

10.1016/j.geomphys.2008.08.006

We construct 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.

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