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Higher charge calorons with non-trivial holonomy

机译:具有非平整性的高电荷量热子

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摘要

The full ADHM-Nahm formalism is employed to find exact higher charge caloron solutions with non-trivial holonomy, extended beyond the axially symmetric solutions found earlier. Particularly interesting is the case where the constituent monopoles, that make up these solutions, are not necessarily well-separated. This is worked out in detail for charge 2. We resolve the structure of the extended core, which was previously localized only through the singularity structure of the zero-mode density in the far field limit. We also show that this singularity structure agrees exactly with the abelian charge distribution as seen through the abelian component of the gauge field. As a by-product zero-mode densities for charge 2 magnetic monopoles are found.
机译:完整的ADH​​M-Nahm形式主义用于查找具有不平凡的完整性的精确的更高电荷的量子解,并扩展到较早发现的轴对称解。特别有趣的是,组成这些解决方案的组成单极子不一定要很好地分离。有关费用2的详细说明,我们解决了扩展铁芯的结构的问题。以前,该扩展铁芯仅通过远场极限中零模密度的奇异性结构进行了局部定位。我们还表明,从奇异场的阿贝尔成分可以看出,这种奇异结构与阿贝尔电荷分布完全一致。作为电荷的副产物零模密度,发现了2个磁性单极子。

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