2020/09/01 by David M. Ramirez
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Central charge #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Geometry #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Physics #Plane (geometry) #Quantum mechanics #Quantum, superfluid, helium dynamics #Torus #Upper and lower bounds #hep-th
paper · pdf · doi:10.1007/jhep12(2021)006
16 pages, 2 figures
arxiv created 2020/09/01 · openalex publication_date 2021/12/02 · arxiv updated 2022/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract Recent work has suggested an intriguing relation between quantum chaos and energy density correlations, known as pole skipping. We investigate this relationship in two dimensional conformal field theories on a finite size spatial circle by studying the thermal energy density retarded two-point function on a torus. We find that the location ω * = i λ of pole skipping in the complex frequency plane is determined by the central charge and the stress energy one-point function 〈 T 〉 on the torus. In addition, we find a bound on λ in c > 1 compact, unitary CFT 2 s identical to the chaos bound, λ ≤ 2 πT . This bound is saturated in large c CFT 2 s with a sparse light spectrum, as quantified by [1], for all temperatures above the dual Hawking-Page transition temperature.