arXiv 1107.37322011-07hep-th

F理论中的磁化E3-brane瞬子

Magnetized E3-brane instantons in F-theory

Massimo Bianchi, Andres Collinucci, Luca Martucci

备注：: 58 pages, 1 figure. v2: minor changes and typos corrected
发表信息：: JHEP 1112 (2011) 045
DOI：: 10.1007/JHEP12(2011)045

摘要：

我们讨论了N=1的四维F-理论紧化中的E3-膜瞬子，并阐明了一般世界体积通量的E3-E3零模的结构。我们一贯纳入SL（2，Z）monodromies和突出F-理论和微扰IIB结果之间的关系。我们明确地表明，世界体积通量可以解除某些费米零模式，其存在将防止非微扰超势项的产生，我们详细讨论了几何解释的零模式提升机制。我们提供了一个IIB推导的指数生成的超势项和修改，包括世界体积通量，再现和推广现有的结果。我们将我们的一般分析应用于P^3上紧化及其定向重弱耦合极限的一个明确的例子，尽管这个例子非常简单。特别是，我们提供了一个例子，其中一个非刚性因子通量有助于超势。

英文摘要：

We discuss E3-brane instantons in N=1 F-theory compactifications to four dimensions and clarify the structure of E3-E3 zero modes for general world-volume fluxes. We consistently incorporate SL(2,Z) monodromies and highlight the relation between F-theory and perturbative IIB results. We explicitly show that world-volume fluxes can lift certain fermionic zero-modes, whose presence would prevent the generation of non-perturbative superpotential terms, and we discuss in detail the geometric interpretation of the zero-mode lifting mechanism. We provide a IIB derivation of the index for generation of superpotential terms and of its modification to include world-volume fluxes, which reproduces and generalizes available results. We apply our general analysis to the explicit, though very simple, example of compactification on P^3 and its orientifold weak-coupling limit. In particular, we provide an example in which a non-rigid divisor with fluxes contributes to the superpotential.

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摘要：

英文摘要：

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