Instantons and the Buckyball

Abstract

The study of Skyrmions predicts that there is an icosahedrally symmetric charge seventeen SU(2) Yang-Mills instanton in which the topological charge density, for fixed Euclidean time, is localized on the edges of the truncated icosahedron of the buckyball. In this paper the existence of such an instanton is proved by explicit construction of the associated ADHM data. A topological charge density isosurface is displayed which verifies the buckyball structure of the instanton.

12 pages, 1 figure

References in corpus (3)

• Skyrmions, Fullerenes and Rational Maps
• Solitonic fullerene structures in light atomic nuclei
• Icosahedral Skyrmions

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• ADHM skyrmions
• Nucleon-nucleon potential from instanton holonomies
• Spectral curves of hyperbolic monopoles from ADHM
• Skyrmions from calorons
• ADHM Polytopes
• Approximating the parallel transport of an induced connection
• Sphaleron solutions of the Skyrme model from Yang-Mills holonomy
• Symmetric calorons of higher charges and their large period limits
• Instantons with continuous conformal symmetries: Hyperbolic and singular monopoles and more, oh my!