arXiv 2603.044942026-03-04hep-th

非阿贝尔晶格弱引力猜想与单极束缚

Nonabelian Lattice Weak Gravity Conjecture and Monopole Confinement

Harvard University（哈佛大学）；Durham University（杜伦大学）

Matthew Reece, Tom Rudelius

备注：: 28 pages, 3 figures

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AI总结：

本文通过环形orbifold紧化验证了非阿贝尔规范群中单极束缚与LWGC违反之间的关系，揭示了规范群中心阶数对LWGC违反程度的限制。

摘要：

在已知的量子引力景观中，大多数理论满足晶格弱引力猜想（LWGC），该猜想要求在电荷晶格Γ的每个站点都存在超极端粒子。然而，LWGC的反例存在，且最近有人提出，这些反例必然特征化分数电荷束缚的单极。在本工作中，我们验证了这一假设，在异弦的环形orbifold紧化中，这种紧化显著在阿贝尔和非阿贝尔规范sector中都存在LWGC的违反。在我们考虑的所有情况下，存在一个离散子群K⊆Z(G)，使得在商群G/K的电荷晶格的每个站点都存在超极端粒子，同时在G/K的磁电荷晶格的每个站点都存在（束缚）单极。这表明，对于中心为平凡的规范群，LWGC的违反不可能发生，更一般地说，非阿贝尔规范理论中LWGC的违反程度在规范群中心的最大阶数的限定下。

英文摘要：

Within the known landscape of quantum gravity, most theories satisfy the Lattice Weak Gravity Conjecture (LWGC), which requires a superextremal particle at every site in the electric charge lattice $Γ$. However, counterexamples to the LWGC exist, and it was recently hypothesized that such counterexamples necessarily feature fractionally charged confined monopoles. In this work, we verify this hypothesis in toroidal orbifold compactifications of the heterotic string, which notably feature LWGC violation in both the abelian and nonabelian gauge sectors. In all the cases we consider, there exists a discrete subgroup of the center of the gauge group $K \subseteq Z(G)$ such that superextremal particles exist at every site in the charge lattice of the quotient group $G/K$, while (confined) monopoles exist at all sites in the magnetic charge lattice of $G/K$. This suggests that LWGC violation cannot occur for gauge groups with trivial centers, and more generally the degree of LWGC violation in a nonabelian gauge theory is bounded in terms of the maximal order of the center.

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