Duality in the Sachdev-Ye-Kitaev model

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

In this article, starting from a review of basic aspects of the Sachdev-Ye-Kitaev (SYK) model in the large N limit, we discuss at non-linear-level the deduction of the zero mode effective Schwarzian action, featuring emergent finite reparametrization symmetry. We then discuss the question of identifying the bulk space-time of the SYK model. We explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions, leading to a dual theory with Euclidean AdS signature with additional leg-factors. We show that the SYK spectrum and the bi-local propagator can be obtained from a Horava-Witten type compactification of a three dimensional model.

Original languageEnglish
Title of host publicationQuantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 - QTS-X/LT-XII, 2017
EditorsVladimir Dobrev
Pages43-61
Number of pages19
DOIs
StatePublished - 2018
EventInternational Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017 - Varna, Bulgaria
Duration: Jun 19 2017Jun 25 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume255
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Symposium on Quantum Theory and Symmetries, QTS-X and XII 2017 and International Workshop on Lie Theory and Its Applications in Physics, LT-XII 2017
Country/TerritoryBulgaria
CityVarna
Period6/19/176/25/17

Bibliographical note

Publisher Copyright:
© Springer Nature Singapore Pte Ltd. 2018.

Keywords

  • Collective field theory
  • Holographic correspondence
  • Large N expansion

ASJC Scopus subject areas

  • General Mathematics

Fingerprint

Dive into the research topics of 'Duality in the Sachdev-Ye-Kitaev model'. Together they form a unique fingerprint.

Cite this