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arXiv 2312.04656hep-th
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杂化M理论中的模轴子、模稳定与大场沼泽地猜想

Moduli Axions, Stabilizing Moduli and the Large Field Swampland Conjecture in Heterotic M-Theory

Cédric Deffayet, Burt A. Ovrut, Paul J. Steinhardt

AI总结:

本研究针对杂化M理论的现实真空问题,提出结合多种非微扰超势的势能推导方案,实现多类模的完全稳定,并验证所得真空满足大标量场沼泽地猜想。

摘要:

我们计算了伸缩子、复结构模和Kähler模的势能,并寻找在Calabi-Yau三维流形上紧化的杂化M理论的现实真空。我们提出了一种推导势能的方案,该方案在隐藏区包含反常U(1)结构群的理论中,结合了非微扰复结构超势、gaugino凝聚超势和worldsheet瞬子超势。Green-Schwarz反常抵消会引发伸缩子和Kähler模虚部的非齐次轴子变换。利用该方案,我们得到了显式示例,其中势能在负或零真空密度处存在全局极小值,或在正真空密度处存在亚稳态极小值。在这三种情形下,伸缩子、Kähler模及相关轴子模都被完全稳定。最后,我们证明,对于这些真空中的任意一个,其势能都满足大标量场Swampland猜想。

英文摘要:

We compute the potential energy for the dilaton, complex structure and Kahler moduli and search of realistic vacua of heterotic M-theory compactified on Calabi-Yau threefolds. We present a protocol for deriving the potential that combines the non-perturbative complex structure, gaugino condensate and worldsheet instanton superpotentials in theories in which the hidden sector contains an anomalous $U(1)$ structure group. The Green-Schwarz anomaly cancellation induces inhomogeneous axion transformations for the imaginary components of the dilaton and Kahler modulus. Using this protocol we obtain explicit examples in which potential has a global minimum at negative or zero vacuum density or a metastable minimum with positive vacuum density. In all three cases, the dilaton, Kahler modulus and associated axion moduli are completely stabilized. Finally, we show that, for any of these vacua, the potential energy satisfies the large scalar field Swampland conjecture.

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