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

4 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

Funding Information:
Acknowledgements S.R.D. and A.J. thank the organizers of QTS10 for organizing a very stimulating meeting. We acknowledge helpful discussions with Robert de Melo Koch, Alexei Kitaev, Juan Maldacena, Gautam Mandal, Cheng Peng and Edward Witten on the topics of this work. We also thank Junggi Yoon for collaborations. This work of A.J. and K.S. are supported by the Department of Energy under contract DE-SC0010010. The work of KS is also supported by the Galkin Fellowship Award at Brown University. The work of S.R.D and A.G is partially supported by the National Science Foundation grant NSF-PHY-1521045.

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

Keywords

  • Collective field theory
  • Holographic correspondence
  • Large N expansion

ASJC Scopus subject areas

  • Mathematics (all)

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