A counterexample to the CFT convexity conjecture

Adar Sharon; Masataka Watanabe

doi:10.1007/JHEP05(2023)202

A counterexample to the CFT convexity conjecture

Adar Sharon
, Masataka Watanabe

Simons Center for Geometry & Physics

Stony Brook University
Kyoto University

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 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.

Original language	English
Article number	202
Journal	Journal of High Energy Physics
Volume	2023
Issue number	5
DOIs	https://doi.org/10.1007/JHEP05(2023)202
State	Published - May 2023

Keywords

AdS-CFT Correspondence
Global Symmetries
Scale and Conformal Symmetries

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10.1007/JHEP05(2023)202

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KW - AdS-CFT Correspondence

KW - Global Symmetries

KW - Scale and Conformal Symmetries

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JO - Journal of High Energy Physics

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A counterexample to the CFT convexity conjecture

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Keywords

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