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arXiv 2501.08623hep-th
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虚自对偶通量中度量模量的维数约化与Kähler度量

Dimensional Reduction and Kähler Metric for Metric Moduli in Imaginary Self-Dual Flux

Andrew R. Frey, Ratul Mahanta

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v3. Content matches published version up to typography/formatting. 35 pages + Appendices
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AI总结：

本文从第一性原理推导了IIB型弦论翘曲Calabi-Yau紧化中几何模量的四维有效理论，完成了Kähler模空间度量的推导，并首次给出复结构平坦方向的有效作用量及环面紧化实例，应用于精密弦现象学和tadpole猜想。

摘要：

理解哪些有效场论与量子引力中的紫外完备化相容是一个重要的理论问题。因此，了解与弦论给定紧化相关的四维有效理论的结构十分重要。我们首次从第一性原理出发，推导了具有虚自对偶三形式通量的IIB型弦论翘曲Calabi-Yau紧化中几何模量的低能四维有效理论。这完成了从十维运动方程出发对Kähler模空间度量的推导。我们还首次给出了Calabi-Yau复结构模空间中平坦方向（通常与轴子-膨胀子混合）的有效作用量，并计算了环面紧化中复结构平坦方向的显式例子。最后，我们概述了在多种情境中的应用，包括精密弦现象学和tadpole猜想。

英文摘要：

Understanding which effective field theories are consistent with an ultraviolet completion in quantum gravity is an important theoretical question. Therefore, it is important to know the structure of the 4D effective theory associated with a given compactification of string theory. We present a first-principles derivation of the low-energy 4D effective theory of geometric moduli in a warped Calabi-Yau compactification of type IIB string theory with imaginary self-dual 3-form flux. This completes the derivation of the metric on Kähler moduli space from the 10D equations of motion. We also give the first derivation of an effective action for flat directions in the complex structure moduli space of the Calabi-Yau (which generically mix with the axiodilaton) and work out explicit examples of complex structure flat directions in toroidal compactifications. Finally, we outline applications to a variety of settings, including precision string phenomenology and the tadpole conjecture.

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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