论文标题
普遍的对称分解量表和弱重力猜想
Generalized Symmetry Breaking Scales and Weak Gravity Conjectures
论文作者
论文摘要
我们探讨了量子场理论和量子重力中近似全局对称性的概念。我们表明,可以通过以下假设来激发各种关于量子重力的猜想,包括弱重力构,距离的猜想以及弱重力构想的磁性和轴法版本,可以通过这样的假设来激励这样的假设,即在低功能的有效田间理论中应强烈破坏广义的全球对称性,即在低功能尺度的情况下,即在质量尺度上变得较小。例如,麦克斯韦理论的电一式对称性的假设应在普朗克量表以下强烈打破,这意味着弱重力猜想。同样,违反广义不可转化的对称性与该猜想的类似物密切相关,以实现非阿布尔仪表理论。这种推理使我们能够统一这些猜想,而在量子重力中没有全球对称性。
We explore the notion of approximate global symmetries in quantum field theory and quantum gravity. We show that a variety of conjectures about quantum gravity, including the weak gravity conjecture, the distance conjecture, and the magnetic and axion versions of the weak gravity conjecture can be motivated by the assumption that generalized global symmetries should be strongly broken within the context of low-energy effective field theory, i.e. at a characteristic scale less than the Planck scale where quantum gravity effects become important. For example, the assumption that the electric one-form symmetry of Maxwell theory should be strongly broken below the Planck scale implies the weak gravity conjecture. Similarly, the violation of generalized non-invertible symmetries is closely tied to analogs of this conjecture for non-abelian gauge theory. This reasoning enables us to unify these conjectures with the absence of global symmetries in quantum gravity.