在Landau-Ginzburg模型中用通量稳定无质量场
Stabilizing massless fields with fluxes in Landau-Ginzburg models
AI总结：
该研究在$1^9$ Landau-Ginzburg模型中系统分析高阶项，证明特定通量可稳定多个无质量场，为无平坦方向的${\mathcal N}=1$ Minkowski真空铺路，并完成小tadpole贡献的整数通量向量分类。
摘要：
关于通量紧化的近期工作表明，tadpole约束通常只允许有限数量的复结构模量变得有质量，即在时空超势中以二次阶被稳定。我们系统地研究了在$1^9$ Landau-Ginzburg模型的Fermat点附近的高阶项效应。该模型处于强耦合，且没有Kähler模量。我们证明，取决于通量，多个无质量场确实可以以此方式被稳定，并论证这为没有平坦方向的显式${\mathcal N}=1$ Minkowski真空铺平了道路。在此过程中，我们完成了具有小tadpole贡献的整数通量向量的分类。由此，我们正接近对$1^9$ Landau-Ginzburg模型中所有可能通量配置的未来完整理解。
英文摘要：
Recent work on flux compactifications suggests that the tadpole constraint generically allows only a limited number of complex structure moduli to become massive, i.e., be stabilized at quadratic order in the spacetime superpotential. We study the effects of higher-order terms systematically around the Fermat point in the $1^9$ Landau-Ginzburg model. This model lives at strong coupling and features no Kähler moduli. We show that, depending on the flux, several massless fields can indeed be stabilized in this fashion, and argue that this paves the way to explicit ${\mathcal N}=1$ Minkowski vacua without flat directions. Along the way, we complete the classification of integral flux vectors with small tadpole contribution. Thereby we are closing in on a future complete understanding of all possible flux configurations in the $1^9$ Landau-Ginzburg model.
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