A counterexample to the CFT convexity conjecture
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Publication:6105310
DOI10.1007/JHEP05(2023)202zbMATH Open1526.81036arXiv2301.08262OpenAlexW4378468959WikidataQ123276600 ScholiaQ123276600MaRDI QIDQ6105310
Author name not available (Why is that?)
Publication date: 26 June 2023
Published in: (Search for Journal in Brave)
Abstract: Motivated by the weak gravity conjecture, arXiv:2108.04594 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.
Full work available at URL: https://arxiv.org/abs/2301.08262
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