The Weak Gravity Conjecture in three dimensions
Abstract
We study weakly coupled U(1) theories in AdS3, 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.
- Authors:
-
- Univ. Autónoma de Madrid, Madrid (Spain); Inst. de Física Teórica IFT-UAM/CSIC
- Univ. of Wisconsin-Madison, Madison, WI (United States). Dept. of Physics; Hong Kong Univ. of Science and Technology, Hong Kong (China). Dept. of Physics & Inst. for Advanced Study
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1533258
- Grant/Contract Number:
- FG02-95ER40896
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; physics; AdS-CFT Correspondence; black holes in String Theory; discrete symmetries; gauge symmetry
Citation Formats
Montero, Miguel, Shiu, Gary, and Soler, Pablo. The Weak Gravity Conjecture in three dimensions. United States: N. p., 2016.
Web. doi:10.1007/jhep10(2016)159.
Montero, Miguel, Shiu, Gary, & Soler, Pablo. The Weak Gravity Conjecture in three dimensions. United States. https://doi.org/10.1007/jhep10(2016)159
Montero, Miguel, Shiu, Gary, and Soler, Pablo. Fri .
"The Weak Gravity Conjecture in three dimensions". United States. https://doi.org/10.1007/jhep10(2016)159. https://www.osti.gov/servlets/purl/1533258.
@article{osti_1533258,
title = {The Weak Gravity Conjecture in three dimensions},
author = {Montero, Miguel and Shiu, Gary and Soler, Pablo},
abstractNote = {We study weakly coupled U(1) theories in AdS3, 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.},
doi = {10.1007/jhep10(2016)159},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2016,
place = {United States},
year = {Fri Oct 28 00:00:00 EDT 2016},
month = {Fri Oct 28 00:00:00 EDT 2016}
}
Web of Science
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