On charge-3 cyclic monopoles
On charge-3 cyclic monopoles
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充电时 3 个循环单极子
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
V. Enolski
中科院分区：
文献类型：
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作者：
H. W. Braden;A. Davanzo;V. Enolski
我们确定了具有 C3 循环对称性的 charge-3 BPS su(2) 单极子的谱曲线。对称性意味着 genus 4 光谱曲线覆盖 genus 2 的 (Toda) 光谱曲线。提出了良好适应的同源基础，使得 genus 4 曲线的 theta 函数和单极子数据能够根据 genus 2 数据给出。 Richelot 对应关系是算术平均值的推广，用于求解该 genus 2 曲线。比较了其他方法的结果。
We determine the spectral curve of charge-3 BPS su(2) monopoles with C3 cyclic symmetry. The symmetry means that the genus 4 spectral curve covers a (Toda) spectral curve of genus 2. A well adapted homology basis is presented enabling the theta functions and monopole data of the genus 4 curve to be given in terms of genus 2 data. The Richelot correspondence, a generalization of the arithmetic mean, is used to solve for this genus 2 curve. Results of other approaches are compared.