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arXiv 1010.0740hep-thmath.DG
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Cheshire Bows的奇异单极

Singular Monopoles from Cheshire Bows

Chris D. A. Blair, Sergey A. Cherkis

摘要:

奇异单极子是具有指定的Dirac-type奇点的非交换单极子。所有这些都是由南的建设交付。然而,在实践中,后者的有效性仅限于一个或两个奇点的情况。我们提出了一种替代建设的奇单极制定的柴郡弓。为了说明我们的弓结构的优点,我们得到了一个U(2)规范群的一个明确的表达式,它具有任意给定的狄拉克型奇点数。

英文摘要:

Singular monopoles are nonabelian monopoles with prescribed Dirac-type singularities. All of them are delivered by the Nahm's construction. In practice, however, the effectiveness of the latter is limited to the cases of one or two singularities. We present an alternative construction of singular monopoles formulated in terms of Cheshire bows. To illustrate the advantages of our bow construction we obtain an explicit expression for one U(2) gauge group monopole with any given number of singularities of Dirac type.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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