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- W3121895384 abstract "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 $mathbb{Z}_N$ symmetry which arises in our discussion. In this case, modular invariance does not guarantee the existence of light $mathbb{Z}_N$-charged states. We also highlight the differences between our discussion and the usual heuristic arguments for the WGC based on black hole remnants." @default.
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- W3121895384 date "2016-10-01" @default.
- W3121895384 modified "2023-10-10" @default.
- W3121895384 title "The Weak Gravity Conjecture in three dimensions" @default.
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- W3121895384 doi "https://doi.org/10.1007/jhep10(2016)159" @default.
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