2019/03/01 by Pranjal Nayak, Julian Sonner, Manuel Vielma
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Conformal symmetry #Correlation function (quantum field theory) #Eigenvalues and eigenvectors #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Spectrum (functional analysis) #Symmetry (geometry) #Thermalisation #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep10(2019)019
27 pages, 6 figures, 5 appendices
arxiv created 2019/03/01 · openalex publication_date 2019/10/01 · arxiv updated 2019/10/23 · openalex created_date 2019/12/13 · openalex updated_date 2026/08/05
A bstract The Sachdev-Ye-Kitaev (SYK) model provides an uncommon example of a chaotic theory that can be analysed analytically. In the deep infrared limit, the original model has an emergent conformal (reparametrisation) symmetry that is broken both spontaneously and explicitly. The explicit breaking of this symmetry comes about due to pseudo-Nambu-Goldstone modes that are not exact zero-modes of the model. In this paper, we study a version of the model which preserves the reparametrisation symmetry at all length scales. We study the heavy-light correlation functions of the operators in the conformal spectrum of the theory. The three point functions of such operators allow us to demonstrate that matrix elements of primaries O <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>O</mml:mi> </mml:math> n of the CFT 1 take the form postulated by the Eigenstate Thermalisation Hypothesis. We also discuss the implications of these results for the states in AdS 2 gravity dual.