Geometry and kinematics of two Skyrmions
type: Item
instance of: scholarly article
title: Geometry and kinematics of two Skyrmions
zbMATH Open document ID: 0778.53051
DOI: 10.1007/BF02096649
author: N. S. Manton
author: Michael Atiyah
published in: Communications in Mathematical Physics
publication date: 1993-06-29T00:00:00Z
review text: The two-Skyrmion dynamics is modelled by motion on a 12-dimensional space of Skyrme fields. This space can be generated by the gradient flow of the potential energy function or by restricting the gradient flow to the Skyrme fields derived from \(SU(2)\) Yang-Mills instantons of charge two. On both of these spaces, after quotienting by the free action of the group \(R^ 2\times SO(3)_{\text{isospin}}\) there remains a 6- dimensional space. It is shown that the global structure of the quotient space is that of complex projective 3-space, with complex conjugate points on one projective plane identified and the real points in this plane removed.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 81V05
zbMATH DE Number: 221167
zbMATH Keywords: gradient flow
zbMATH Keywords: potential energy function
zbMATH Keywords: Yang-Mills instantons
zbMATH Keywords: complex projective 3-space
reviewed by: Gheorghe Zet
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 221167