Cyclic Monopoles,Affine Toda and Spectral Curves |
| |
Authors: | H W Braden |
| |
Institution: | 1.School of Mathematics,Edinburgh University,Edinburgh,UK |
| |
Abstract: | We show that any cyclically symmetric monopole is gauge equivalent to Nahm data given by Sutcliffe’s ansatz, and so obtained
from the affine Toda equations. Further the direction (the Ercolani-Sinha vector) and base point of the linearising flow in
the Jacobian of the spectral curve associated to the Nahm equations arise as pull-backs of Toda data. A theorem of Accola
and Fay then means that the theta-functions arising in the solution of the monopole problem reduce to the theta-functions
of Toda. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|