F-extremization determines certain large-N CFTs

• Published in: The journal of high energy physics Vol. 2025; no. 4; pp. 85 - 40
• Main Authors: Fraser-Taliente, Ludo, Wheater, John
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 11.04.2025; Springer Nature B.V; SpringerOpen
• Subjects: 1/N Expansion; Classical and Quantum Gravitation; Elementary Particles; Energy; Feynman diagrams; Free energy; High energy physics; Nonperturbative Effects; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Renormalization and Regularization; Renormalization Group; String Theory; Symmetry; Tensors; 1; Renormalization Group; Expansion; Nonperturbative Effects; Renormalization and Regularization

A bstract We show that the conformal data of a range of large- N CFTs, the melonic CFTs, are specified by constrained extremization of the universal part of the sphere free energy F = − log Z S d , called F ~ . This family includes the generalized SYK models, the vector models ( O ( N ), Gross-Neveu...