The Wu-Yang potential of magnetic skyrmion from SU(2) flat connection
@article{Ren2018TheWP, title={The Wu-Yang potential of magnetic skyrmion from SU(2) flat connection}, author={J. Ren and H. Wang and Z. Wang and Fei Qu}, journal={Science China Physics, Mechanics & Astronomy}, year={2018}, volume={62}, pages={1-4} }
The theoretical research of the origin of magnetic skyrmion is very interesting. By using decomposition theory of gauge potential and the gauge parallel condition of local bases of $su(2)$ Lie algebra, its $SU(2)$ gauge potential is expressed as flat connection. As an example of application, we obtain the inner topological structure of second Chern number by $SU(2)$ flat connection method. It's well known that if magnetic monopole exists in electrodynamics, its Wu-Yang potential is… CONTINUE READING
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