Nahm's equations and the classification of monopoles

作者: S. K. Donaldson

DOI: 10.1007/BF01214583

关键词: Differential algebraic equationCollocation methodSeparable partial differential equationMathematical physicsMathematicsIndependent equationStochastic partial differential equationMathematical analysisNahm equationsExplicit and implicit methodsDifferential equationStatistical and Nonlinear Physics

摘要: Solutions of Nahm's system of ordinary differential equations are produced by variational methods. This leads to an explicit parametrisation of the solutions to the Bogomolny …

参考文章(12)
George Kempf, Linda Ness, The length of vectors in representation spaces Lecture Notes in Mathematics. pp. 233- 243 ,(1979) , 10.1007/BFB0066647
Werner Nahm, The algebraic geometry of multimonopoles Group Theoretical Methods in Physics. ,vol. 180, pp. 456- 466 ,(1983) , 10.1007/3-540-12291-5_74
Jacques Hurtubise, SU(2) Monopoles of Charge 2 Communications in Mathematical Physics. ,vol. 92, pp. 195- 202 ,(1983) , 10.1007/BF01210845
S. K. Donaldson, Instantons and geometric invariant theory Communications in Mathematical Physics. ,vol. 93, pp. 453- 460 ,(1984) , 10.1007/BF01212289
N. J. Hitchin, On the Construction of Monopoles Communications in Mathematical Physics. ,vol. 89, pp. 145- 190 ,(1983) , 10.1007/BF01211826
M. F. Atiyah, Instantons in two and four dimensions Communications in Mathematical Physics. ,vol. 93, pp. 437- 451 ,(1984) , 10.1007/BF01212288
M. K. Murray, Monopoles and spectral curves for arbitrary Lie groups Communications in Mathematical Physics. ,vol. 90, pp. 263- 271 ,(1983) , 10.1007/BF01205507
N. J. Hitchin, Monopoles and geodesics Communications in Mathematical Physics. ,vol. 83, pp. 579- 602 ,(1982) , 10.1007/BF01208717
The Yang-Mills equations over Riemann surfaces Philosophical Transactions of the Royal Society A. ,vol. 308, pp. 523- 615 ,(1982) , 10.1098/RSTA.1983.0017