F-理论中的G-流与代数圈
G-flux in F-theory and algebraic cycles
摘要：
我们在F-理论紧化中构造了显式的G4通量。我们的方法依赖于识别椭圆卡-丘四重的Weierstrass方程中的代数圈。我们展示了如何直接在F-理论中计算D3-膜蝌蚪和诱导手性指数。只要弱耦合极限是可用的，我们比较，并成功地匹配我们的研究结果在IIB型弦论的相应结果。最后，我们提出了一些推广我们的结果暗示在一个统一的描述椭圆卡-丘四倍连同四形式通量G4作为一个相干层。在这一描述之间的密切联系G4通量和代数周期是显而易见的。
英文摘要：
We construct explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to compute the D3-brane tadpole and the induced chirality indices directly in F-theory. Whenever a weak coupling limit is available, we compare and successfully match our findings to the corresponding results in type IIB string theory. Finally, we present some generalizations of our results which hint at a unified description of the elliptic Calabi-Yau fourfold together with the four-form flux G4 as a coherent sheaf. In this description the close link between G4 fluxes and algebraic cycles is manifest.
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