Some Low Dimensional Evidence for the Weak Gravity Conjecture

TL;DR

This paper explores low-dimensional examples supporting the weak gravity conjecture, showing that in 2+1 and 1+1 dimensions, the relation between Planck scale and interaction strength aligns with the 3+1 dimensional conjecture without exotic physics.

Contribution

It provides evidence for the weak gravity conjecture in lower dimensions, demonstrating that the conjecture's implications extend beyond 3+1 dimensions without requiring exotic phenomena.

Findings

Low-dimensional examples support the conjecture.

Results are direct consequences of the 3+1 dimensional conjecture.

No need for exotic physics like small black holes in these cases.

Abstract

We discuss a few examples in 2+1 dimensions and 1+1 dimensions supporting a recent conjecture concerning the relation between the Planck scale and the coupling strength of a non-gravitional interaction, unlike those examples in 3+1 dimensions, we do not have to resort to exotic physics such as small black holes. However, the result concerning these low dimensional examples is a direct consequence of the 3+1 dimensional conjecture.