Some comments on the non-self-dual Nahm equations
type: Item
instance of: scholarly article
title: Some comments on the non-self-dual Nahm equations
zbMATH Open document ID: 0587.58058
DOI: 10.1007/BF01220513
author: B. George
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: An idea which the authors should like to explore is the possibility that the Nahm transformation between two sets of self-dual Yang-Mills equations actually extends also to some sort of transformation between non-self-dual solutions. The aim of the paper is to describe some modest discoveries that are quite interesting. In particular the authors demonstrate the existence of simple solutions to the second order equations which interpolate between self-dual and antidual solutions, and explore some of their properties.
Mathematics Subject Classification ID: 58J90
Mathematics Subject Classification ID: 81T08
zbMATH DE Number: 3942583
zbMATH Keywords: quantum mechanics
zbMATH Keywords: quantum field theory
zbMATH Keywords: Yang-Mills equations
reviewed by: Igor V. Chekalov
MaRDI profile type: Publication
cites work: Construction of instantons
cites work: A description of instantons
cites work: On the construction of monopoles
cites work: Construction of instanton and monopole solutions and reciprocity
cites work: The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
cites work: Q5183796
cites work: Universal scaling behaviour for iterated maps in the complex plane
description: scientific article; zbMATH DE number 3942583