Symmetric instantons and Skyrme fields

Singer, Michael A. and Sutcliffe, Paul M. (1999) Symmetric instantons and Skyrme fields. Nonlinearity, 12 (4). pp. 987-1003. ISSN 0951-7715. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1088/0951-7715/12/4/315

Abstract

By explicit construction of the ADHM data, we prove the existence of a charge-seven instanton with icosahedral symmetry. By computing the holonomy of this instanton we obtain a Skyrme field which approximates the minimal energy charge-seven skyrmion. We also present a one-parameter family of tetrahedrally symmetric instantons whose holonomy gives a family of Skyrme fields which models a skyrmion scattering process, where seven well-separated skyrmions collide ta form the icosahedrally symmetric skyrmion.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: F.D. Zabet
Date Deposited: 26 Mar 2009 10:57
Last Modified: 25 Jun 2014 09:11
Resource URI: https://kar.kent.ac.uk/id/eprint/16621 (The current URI for this page, for reference purposes)
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