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arXiv 1005.2837hep-th
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具有SU(4)-结构的齐次流形上通量紧化中的Yang-Mills场

Yang-Mills fields in flux compactifications on homogeneous manifolds with SU(4)-structure

Derek Harland, Alexander D. Popov

摘要:

SU(4)-瞬子方程是8-流形上瞬子的自然BPS方程。我们研究了近似Kaehler和Calabi-Yau挠流形上的这些方程,其中G/H是陪集空间,M是环面与欧氏空间的乘积.通过施加G-不变性,瞬子方程简化为关于M的有趣方程;例如,卡普斯廷和威滕在几何朗兰兹程序中使用的方程就是这样产生的。我们进行了一些例子的减少,并在可能的情况下提出简单的解决方案。

英文摘要:

The SU(4)-instanton equations are natural BPS equations for instantons on 8-manifolds. We study these equations on nearly Kaehler and Calabi-Yau torsion manifolds of the form M x G/H, with G/H a coset space and M a product of a torus with Euclidean space. By imposing G-invariance the instanton equations reduce to interesting equations on M; for example, equations used by Kapustin and Witten in the geometric Langlands program arise in this way. We carry out reductions in a number of examples, and where possible present simple solutions.

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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