Eigenstate thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
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Publication:2283359
DOI10.1007/JHEP10(2019)019zbMATH Open1427.81144arXiv1903.00478OpenAlexW3104987721WikidataQ127097001 ScholiaQ127097001MaRDI QIDQ2283359
Author name not available (Why is that?)
Publication date: 2 January 2020
Published in: (Search for Journal in Brave)
Abstract: 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 of the CFT take the form postulated by the Eigenstate Thermalisation Hypothesis. We also discuss the implications of these results for the states in AdS gravity dual.
Full work available at URL: https://arxiv.org/abs/1903.00478
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