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VOL. 10 | 2009 Noncommutative Deformation of Instantons and Vortexes
Akifumi Sako

Editor(s) Ivaïlo M. Mladenov, Gaetano Vilasi, Akira Yoshioka

Abstract

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.

Information

Published: 1 January 2009
First available in Project Euclid: 13 July 2015

zbMATH: 1179.81152
MathSciNet: MR2757838

Digital Object Identifier: 10.7546/giq-10-2009-237-247

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

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