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. © 2011 Springer-Verlag.
CITATION STYLE
Braden, H. W. (2011). Cyclic Monopoles, Affine Toda and Spectral Curves. Communications in Mathematical Physics, 308(2), 303–323. https://doi.org/10.1007/s00220-011-1347-1
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