Computing brane and flux superpotentials in F-theory compactifications
Computing brane and flux superpotentials in F-theory compactifications
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DOI：
10.1007/jhep04(2010)015
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发表时间：
2009-09
影响因子：
5.4
通讯作者：
Thomas W. Grimm;Tae-Won Ha;A. Klemm;Denis Klevers
中科院分区：
文献类型：
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作者：
Thomas W. Grimm;Tae-Won Ha;A. Klemm;Denis Klevers
在N= 1超对称的四维F-理论紧化中，描述填充7-膜的时空动力学的场是内部卡-丘四重模空间的复结构模空间的一部分。我们在F理论中计算了通量超势，它依赖于所有的复结构模，包括7-膜变形和对应于轴对称子的场。由于7-膜上的通量诱导5-膜电荷，局部极限允许有效地匹配F-理论的结果，在非紧卡-丘三倍与threeform通量的D5-膜。我们分析了经典和瞬子的贡献，F-理论超势使用镜像对称的卡-丘四重。考虑下的F-理论紧化也承认杂合对偶描述，我们讨论了在这种非微扰对偶的模的识别。
In four-dimensional F-theory compactifications with N= 1 supersymmetry the fields describing the dynamics of space-time filling 7-branes are part of the complex structure moduli space of the internal Calabi-Yau fourfold. We explicitly compute the flux superpotential in F-theory depending on all complex structure moduli, including the 7-brane deformations and the field corresponding to the axio-dilaton. Since fluxes on the 7-branes induce 5-brane charge, a local limit allows to effectively match the F-theory results to a D5-brane in a non-compact Calabi-Yau threefold with threeform fluxes. We analyze the classical and instanton contributions to the F-theory superpotential using mirror symmetry for Calabi-Yau fourfolds. The F-theory compactifications under consideration also admit heterotic dual descriptions and we discuss the identification of the moduli in this non-perturbative duality.