Random statistics of OPE coefficients and Euclidean wormholes
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Publication:5162944
DOI10.1088/1361-6382/AC1082zbMATH Open1482.81035arXiv2006.05499OpenAlexW3035526662WikidataQ114096977 ScholiaQ114096977MaRDI QIDQ5162944
Author name not available (Why is that?)
Publication date: 8 November 2021
Published in: (Search for Journal in Brave)
Abstract: We propose an ansatz for OPE coefficients in chaotic conformal field theories which generalizes the Eigenstate Thermalization Hypothesis and describes any OPE coefficient involving heavy operators as a random variable with a Gaussian distribution. In two dimensions this ansatz enables us to compute higher moments of the OPE coefficients and analyse two and four-point functions of OPE coefficients, which we relate to genus-2 partition functions and their squares. We compare the results of our ansatz to solutions of Einstein gravity in AdS, including a Euclidean wormhole that connects two genus-2 surfaces. Our ansatz reproduces the non-perturbative correction of the wormhole, giving it a physical interpretation in terms of OPE statistics. We propose that calculations performed within the semi-classical low-energy gravitational theory are only sensitive to the random nature of OPE coefficients, which explains the apparent lack of factorization in products of partition functions.
Full work available at URL: https://arxiv.org/abs/2006.05499
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