Abstract
Abstract
Motivated by the weak gravity conjecture, [Phys. Rev. D104 (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 model with some modifications to make it a weakly-coupled CFT. We also discuss further possible applications of this model and some modified versions of the conjecture which are not ruled out by the counterexample.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
3 articles.
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