A counterexample to the CFT convexity conjecture
Open Access
- 25 May 2023
- journal article
- research article
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2023 (5) , 1-10
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.Keywords
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