Weak gravity conjecture, black hole entropy, and modular invariance
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Publication:2273385
DOI10.1007/JHEP08(2019)022zbMATH Open1421.83048arXiv1905.06956WikidataQ123008573 ScholiaQ123008573MaRDI QIDQ2273385
Author name not available (Why is that?)
Publication date: 23 September 2019
Published in: (Search for Journal in Brave)
Abstract: In recent literature, it has been argued that a mild form of the Weak Gravity Conjecture (WGC) is satisfied by wide classes of effective field theories in which higher-derivative corrections can be shown to shift the charge-to-mass ratios of extremal black holes to larger values. However, this mild form does not directly constrain low-energy physics because the black holes satisfying the WGC have masses above the cutoff of the effective theory. In this note, we point out that in string theory modular invariance can connect a light superextremal state to heavy superextremal states; the latter collapse into black holes at small string coupling. In the context of heterotic string theory, we show that these states are black holes that have -exact charge-to-mass ratios exceeding the classical extremality bound. This suggests that modular invariance of the string partition function can be used to relate the existence of a light superextremal particle to the positive shift in charge-to-mass ratio of extremal black holes.
Full work available at URL: https://arxiv.org/abs/1905.06956
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