The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual

Creators: Kitaev, Alexei; Suh, S. Josephine

Abstract

We give an exposition of the SYK model with several new results. A non-local correction to the Schwarzian effective action is found. The same action is obtained by integrating out the bulk degrees of freedom in a certain variant of dilaton gravity. We also discuss general properties of out-of-time-order correlators.

Additional Information

© The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: April 2, 2018; Accepted: May 22, 2018; Published: May 29, 2018. We thank Juan Maldacena, Douglas Stanford, and Yingfei Gu for useful discussions. We gratefully acknowledge the support by the Simons Foundation through the "It from Qubit" program. A.K. is supported by the Simons Foundation under grant 376205 and by the Institute of Quantum Information and Matter, a NSF Frontier center funded in part by the Gordon and Betty Moore Foundation. The work of J.S. was supported in part by the Natural Sciences and Engineering Research Council of Canada and by the Simons Foundation through grant 376206. It was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611.

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Published - 10.1007_2FJHEP05_2018_183.pdf

Submitted - 1711.08467.pdf

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