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Hopf solitons in the Nicole model.

Gillard, M. and Sutcliffe, P.M. (2010) 'Hopf solitons in the Nicole model.', Journal of mathematical physics., 51 (12). p. 122305.

Abstract

The Nicole model is a conformal field theory in a three-dimensional space. It has topological soliton solutions classified by the integer-valued Hopf charge, and all currently known solitons are axially symmetric. A volume-preserving flow is used to construct soliton solutions numerically for all Hopf charges from 1 to 8. It is found that the known axially symmetric solutions are unstable for Hopf charges greater than 2 and new lower energy solutions are obtained that include knots and links. A comparison with the Skyrme–Faddeev model suggests many universal features, though there are some differences in the link types obtained in the two theories.

Item Type:Article
Keywords:Conformal field theory, Skyrmions, Topology.
Full text:PDF - Published Version (176Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1063/1.3525805
Publisher statement:Copyright 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Gillard, M. and Sutcliffe, P.M. (2010) 'Hopf solitons in the Nicole model.', Journal of mathematical physics., 51 (12). p. 122305 and may be found at http://dx.doi.org/10.1063/1.3525805
Record Created:09 Oct 2012 10:05
Last Modified:09 Oct 2012 14:17

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