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A counterexample to the CFT convexity conjecture

2023; Springer Nature; Volume: 2023; Issue: 5 Linguagem: Inglês

10.1007/jhep05(2023)202

1127-2236

Adar Sharon, Masataka Watanabe,

Noncommutative and Quantum Gravity Theories

A bstract 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 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.