近日，德国汉堡大学的Timo Weigand及其研究小组与美国哈佛大学的Max Wiesner合作并取得一项新进展。经过不懈努力，他们提出M理论中的渐近弱引力猜想。相关研究成果已于2023年8月11日在国际知名学术期刊《高能物理杂志》上发表。

据悉，塔弱引力猜想预测了沿一致量子引力理论的电荷晶格中的每条射线的无限多个超极端状态。该研究团队在具有弱耦合极限的规范群的Calabi-Yau 3-fold上的M理论的五维紧化中证明了这一意义深远的论断。研究人员首先描述了可能的弱耦合极限，建立在M理论紧化的Khler模空间中无限距离极限的早期分类的基础上。

他们发现弱耦合规范群与紧化空间上的曲线相关，这些曲线存在于一般纤维或模空间中有限距离简并的纤维中。这些总是可以解释为Kaluza-Klein或缠绕在对偶框架中的U(1)或作为对偶微扰异质规范群的一部分，这与涌现弦猜想一致。

此外，研究人员利用Donaldson-Thomas不变量与Noether-Lefschetz理论之间的联系，表明相关电荷晶格中的每条射线要么支持一个BPS态塔，要么支持一个非BPS态塔，并证明这些在弱耦合域中至少满足超极端条件。

附：英文原文

Title: The asymptotic weak gravity conjecture in M-theory

Author: Cota, Cesar Fierro, Mininno, Alessandro, Weigand, Timo, Wiesner, Max

Issue&Volume: 2023-08-11

Abstract: The tower Weak Gravity Conjecture predicts infinitely many super-extremal states along every ray in the charge lattice of a consistent quantum gravity theory. We show this far-reaching claim in five-dimensional compactifications of M-theory on Calabi-Yau 3-folds for gauge groups with a weak coupling limit. We first characterize the possible weak coupling limits, building on an earlier classification of infinite distance limits in the Khler moduli space of M-theory compactifications. We find that weakly coupled gauge groups are associated to curves on the compactification space contained in generic fibers or in fibers degenerating at finite distance in their moduli space. These always admit an interpretation as a Kaluza-Klein or winding U(1) in a dual frame or as part of a dual perturbative heterotic gauge group, in agreement with the Emergent String Conjecture. Using the connection between Donaldson-Thomas invariants and Noether-Lefschetz theory, we then show that every ray in the associated charge lattice either supports a tower of BPS states or of non-BPS states, and prove that these satisfy the super-extremality condition, at least in the weak coupling regime.

DOI: 10.1007/JHEP08(2023)057

Source: https://link.springer.com/article/10.1007/JHEP08%282023%29057