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arXiv 1002.1894hep-th
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F理论中的瞬子效应

On Instanton Effects in F-theory

Ralph Blumenhagen, Andres Collinucci, Benjamin Jurke

摘要:

我们重新讨论了椭圆纤维卡-丘四重层上F-理论紧化中超势的M5-膜瞬子修正问题。详细阐述了具体的几何形状,我们比较了非微扰F理论模型的瞬子零模式与微扰Sen极限下的零模式。在F理论中,费米物质零模以几何的方式出现在瞬子与充满时空的D 7-膜的交点上。他们的计算方法的发展,并不奇怪,特殊的规范群结构出现。最后,讨论了单圈行列式的非常有趣的几何方面。

英文摘要:

We revisit the issue of M5-brane instanton corrections to the superpotential in F-theory compactifications on elliptically fibered Calabi-Yau fourfolds. Elaborating on concrete geometries, we compare the instanton zero modes for non-perturbative F-theory models with the zero modes in their perturbative Sen limit. The fermionic matter zero modes localized on the intersection of the instanton with the space-time filling D7-branes show up in a geometric way in F-theory. Methods for their computation are developed and, not surprisingly, exceptional gauge group structures do appear. Finally, quite intriguing geometrical aspects of the one-loop determinant are discussed.

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