Symmetric Instantons and Skyrme Fields

Details Symmetric Instantons and Skyrme Fields Symmetric Instantons and Skyrme Fields

1999-01-18

arxiv.org/abs/hep-th/9901075v1

Nonlinearity 12 (1999) 987-1003

Physics

High Energy Physics

High Energy Physics - Theory

22 pages plus 1 figure in GIF format

Scientific paper

10.1088/0951-7715/12/4/315

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 to form the icosahedrally symmetric Skyrmion.

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