The Eigenstate Thermalization Hypothesis makes a prediction for the statistical distribution of matrix elements of simple operators in energy eigenstates of chaotic quantum systems. As a leading approximation, off-diagonal matrix elements are described by Gaussian random variables but higher-point correlation functions enforce non-Gaussian corrections which are further exponentially suppressed in the entropy. In this paper, we investigate non- Gaussian corrections to the statistical distribution of heavy-heavy-heavy OPE coefficients in chaotic two-dimensional conformal field theories. Using the Virasoro crossing kernels, we provide asymptotic formulas involving arbitrary numbers of OPE coefficients from modular invariance on genus-g surfaces. We find that the non-Gaussianities are further exponentially suppressed in the entropy, much like the ETH. We discuss the implication of these results for products of CFT partition functions in gravity and Euclidean wormholes. Our results suggest that there are new connected wormhole geometries that dominate over the genus-two wormhole.

Belin, A., de Boer, J., Liska, D. (2022). Non-Gaussianities in the statistical distribution of heavy OPE coefficients and wormholes. JOURNAL OF HIGH ENERGY PHYSICS, 2022(6) [10.1007/JHEP06(2022)116].

Non-Gaussianities in the statistical distribution of heavy OPE coefficients and wormholes

Belin A;
2022

Abstract

The Eigenstate Thermalization Hypothesis makes a prediction for the statistical distribution of matrix elements of simple operators in energy eigenstates of chaotic quantum systems. As a leading approximation, off-diagonal matrix elements are described by Gaussian random variables but higher-point correlation functions enforce non-Gaussian corrections which are further exponentially suppressed in the entropy. In this paper, we investigate non- Gaussian corrections to the statistical distribution of heavy-heavy-heavy OPE coefficients in chaotic two-dimensional conformal field theories. Using the Virasoro crossing kernels, we provide asymptotic formulas involving arbitrary numbers of OPE coefficients from modular invariance on genus-g surfaces. We find that the non-Gaussianities are further exponentially suppressed in the entropy, much like the ETH. We discuss the implication of these results for products of CFT partition functions in gravity and Euclidean wormholes. Our results suggest that there are new connected wormhole geometries that dominate over the genus-two wormhole.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Conformal Field Theory;
English
20-giu-2022
2022
2022
6
116
open
Belin, A., de Boer, J., Liska, D. (2022). Non-Gaussianities in the statistical distribution of heavy OPE coefficients and wormholes. JOURNAL OF HIGH ENERGY PHYSICS, 2022(6) [10.1007/JHEP06(2022)116].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/396357
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