Space-time in the SYK model

Sumit R. Das, Animik Ghosh, Antal Jevicki, Kenta Suzuki

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

We consider the question of identifying the bulk space-time of the SYK model. Focusing on the signature of emergent space-time of the (Euclidean) model, we explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions. This results in a dual theory with Euclidean AdS signature with additional legfactors. We speculate that these factors incorporate the coupling of additional bulk states similar to the discrete states of 2d string theory.

Original languageEnglish
Article number184
JournalJournal of High Energy Physics
Volume2018
Issue number7
DOIs
StatePublished - Jul 1 2018

Bibliographical note

Funding Information:
We acknowledge helpful conversations with Robert de Melo Koch, Gautam Mandal, Pran-jal Nayak, Cheng Peng, Kaushik Ray, Al Shapere, Edward Witten and Junggi Yoon on the topics of this paper. We are especially grateful to Juan Maldacena for several correspondences and discussions. This work is supported by the Department of Energy under contract DE-SC0010010. The work of SRD and AG are partially supported by the National Science Foundation grant NSF-PHY-1521045. The work of KS is also supported by the Galkin Fellowship Award at Brown University. SRD would like to thank Tata Institute of Fundamental Research and University of Amsterdam for hospitality during the completion of this work.

Publisher Copyright:
© 2018, The Author(s).

Keywords

  • 2D Gravity
  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • Space-Time Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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