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Eigenstate thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach

Published inJournal of High Energy Physics, vol. 2019, p. 1-24
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  • Open Access - SCOAP3
Publication date2019
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 O n of the CFT1 take the form postulated by the Eigenstate Thermalisation Hypothesis. We also discuss the implications of these results for the states in AdS2 gravity dual.

Citation (ISO format)
NAYAK, Pranjal, SONNER, Julian, VIELMA BLANCO, Manuel Vidal. Eigenstate thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach. In: Journal of High Energy Physics, 2019, vol. 2019, p. 1–24. doi: 10.1007/JHEP10(2019)019
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ISSN of the journal1029-8479
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