.png){kind=icon}
.png){kind=icon}
Return
The Weak Gravity Conjecture in three dimensions
.png){kind=icon}
OA
AI
DOI：10.1007/JHEP10(2016)159.png)
.png){kind=icon}
.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
We study weakly coupled U(1) theories in AdS(3), their associated charged BTZ solutions, and their charged spectra. We find that modular invariance of the holographic dual two-dimensional CFT and compactness of the gauge group together imply the existence of charged operators with conformal dimension significantly below the black hole threshold. We regard this as a form of the Weak Gravity Conjecture (WGC) in three dimensions. We also explore the constraints posed by modular invariance on a particular discrete acurrency sign (N) symmetry which arises in our discussion. In this case, modular invariance does not guarantee the existence of light acurrency sign (N) -charged states. We also highlight the differences between our discussion and the usual heuristic arguments for the WGC based on black hole remnants.
Keywords:
AdS-CFT Correspondence
Black Holes in String Theory
Discrete Symmetries
Gauge Symmetry
AI Summary
Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W