近日,美国莱赫大学的Muthusamy Rajaguru及其研究团队取得一项新进展。经过不懈努力,他们成功稳定Landau-Ginzburg模型中具有通量的无质量场。相关研究成果已于2024年8月8日在国际知名学术期刊《高能物理杂志》上发表。
该研究团队在19个Landau-Ginzburg模型的Fermat点附近系统地研究了高阶项的影响。该模型处于强耦合状态,并且没有Khler模量。研究表明,确实可以以这种方式使无质量场稳定下来。研究人员观察到,根据通量的不同,当初始无质量场的数量较大时,该机制更有效。
这些发现与tadpole猜想和无质量Minkowski猜想都相符。在此过程中,研究人员完成了对小tadpole贡献的积分通量向量的分类。因此,研究人员正在逐步接近对19个Landau-Ginzburg模型中所有可能的通量配置的全面理解。
据悉,近期关于通量紧致化的研究表明,tadpole约束通常只允许有限数量的复结构模数变得庞大,即在时空超势中以二次项的形式稳定下来。
附:英文原文
Title: Stabilizing massless fields with fluxes in Landau-Ginzburg models
Author: Becker, Katrin, Rajaguru, Muthusamy, Sengupta, Anindya, Walcher, Johannes, Wrase, Timm
Issue&Volume: 2024-08-08
Abstract: 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 19 Landau-Ginzburg model. This model lives at strong coupling and features no Khler moduli. We show that indeed massless fields can be stabilized in this fashion. We observe that, depending on the flux, this mechanism is more effective when the number of initially massless fields is large. These findings are compatible with both the tadpole conjecture and the massless Minkowski conjecture. 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 19 Landau-Ginzburg model.
DOI: 10.1007/JHEP08(2024)069
Source: https://link.springer.com/article/10.1007/JHEP08(2024)069