The Weak Gravity Conjecture in three dimensions

Montero, Miguel; Shiu, Gary; Soler, Pablo

doi:10.1007/jhep10(2016)159

Title: The Weak Gravity Conjecture in three dimensions

Journal Article · Fri Oct 28 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2016)159· OSTI ID:1533258

Montero, Miguel ^[1]; Shiu, Gary ^[2]; Soler, Pablo ^[2]

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

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.

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Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-95ER40896

OSTI ID:: 1533258

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 110 works

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Title: The Weak Gravity Conjecture in three dimensions

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