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arXiv · 0805.3373

Noncommutative Deformation of Instantons

Yoshiaki Maeda·Akifumi Sako
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Abstract

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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Yoshiaki Maeda, Akifumi Sako. 2008-07-08. Noncommutative Deformation of Instantons. https://doi.org/10.1016/j.geomphys.2008.08.006

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