从谱曲线和伪装的Gauss-Manin联络得到SU(2)单极模的度量
Metric in the moduli of SU(2) monopoles from spectral curves and Gauss-Manin connection in disguise
摘要:
我们在这里表明,从流形的度量$M^0_2$,即,Yang-Mills-Higgs理论中SU(2)2-磁单极子的约化模,可以通过伪装的Gauss-Manin联系方法恢复其谱曲线的约化模。这项工作是一个步骤,创造一个逆过程中找到任何$M^0_k$的度量,从光谱曲线。这是一个30年的老问题,我们希望能在其中找到一些答案。
英文摘要:
We show here that from the metric of the manifold $M^0_2$ , i.e., the reduced moduli of SU(2) 2-monopoles in Yang-Mills-Higgs theory, one can recover the respective moduli of spectral curves using the method Gauss-Manin connection in disguise. This work is a step towards creating a inverse process of finding the metric of any $M^0_k$ , from spectral curves. This is a thirty years old problem that we hope to shed some light in it.
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