循环单极、仿射Toda和谱曲线
Cyclic Monopoles, Affine Toda and Spectral Curves
摘要：
我们表明，任何循环对称的规范等价于纳姆数据给出的Sutcliffe的antonym，因此得到的仿射户田方程。此外，方向（Ercolani-Sinha向量）和基点的线性化流的雅可比矩阵的光谱曲线相关联的Nahm方程出现的户田数据的回调。Accola和Fay的一个定理意味着，在解决这个问题时出现的theta函数可以简化为Toda的theta函数。
英文摘要：
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.
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