Symmetric instantons and Skyrme fields

Citation
Ma. Singer et Pm. Sutcliffe, Symmetric instantons and Skyrme fields, NONLINEARIT, 12(4), 1999, pp. 987-1003
Citations number
18
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715 → ACNP
Volume
12
Issue
4
Year of publication
1999
Pages
987 - 1003
Database
ISI
SICI code
0951-7715(199907)12:4<987:SIASF>2.0.ZU;2-R
Abstract
By explicit construction of the ADHM data, we prove the existence of a char ge-seven instanton with icosahedral symmetry. By computing the holonomy of this instanton we obtain a Skyrme field which approximates the minimal ener gy charge-seven skyrmion. We also present a one-parameter family of tetrahe drally symmetric instantons whose holonomy gives a family of Skyrme fields which models a skyrmion scattering process, where seven well-separated skyr mions collide ta form the icosahedrally symmetric skyrmion.