Open Access
2009 Noncommutative Deformation of Instantons and Vortexes
Akifumi Sako
J. Geom. Symmetry Phys. 14: 85-96 (2009). DOI: 10.7546/jgsp-14-2009-85-96


We study noncommutative (NC) instantons and vortexes. At first, we construct instanton solutions which are deformations of instanton solutions on commutative Euclidean four-space. We show that the instanton numbers of these NC instanton solutions coincide with the commutative solutions. Next, we also deform vortex solutions similarly and we show that their vortex numbers are unchanged under the NC deformation.


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Akifumi Sako. "Noncommutative Deformation of Instantons and Vortexes." J. Geom. Symmetry Phys. 14 85 - 96, 2009.


Published: 2009
First available in Project Euclid: 24 May 2017

zbMATH: 1171.81410
MathSciNet: MR2536501
Digital Object Identifier: 10.7546/jgsp-14-2009-85-96

Rights: Copyright © 2009 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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