A counterexample to the CFT convexity conjecture

Abstract Motivated by the weak gravity conjecture, [Phys. Rev. D 104 (2021) 126005] conjectured that in any CFT, the minimal operator dimension at fixed charge is a convex function of the charge. In this letter we construct a counterexample to this convexity conjecture, which is a clockwork-like mod...

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Bibliographic Details
Main Authors: Adar Sharon, Masataka Watanabe
Format: Article
Language:English
Published: SpringerOpen 2023-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2023)202