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Cyclic Monopoles, Affine Toda and Spectral Curves | | H.W. Braden
; | | Date: |
5 Feb 2010 | | 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. | | Source: | arXiv, 1002.1216 | | Services: | Forum | Review | PDF | Favorites | |
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