Duality in the Sachdev-Ye-Kitaev model

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

doi:10.1007/978-981-13-2179-5_4

Duality in the Sachdev-Ye-Kitaev model

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 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 language	English
Title of host publication	Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 - QTS-X/LT-XII, 2017
Editors	Vladimir Dobrev
Pages	43-61
Number of pages	19
DOIs	https://doi.org/10.1007/978-981-13-2179-5_4
State	Published - 2018
Event	International 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 2017 → Jun 25 2017

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	255
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	International 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/Territory	Bulgaria
City	Varna
Period	6/19/17 → 6/25/17

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

Access to Document

10.1007/978-981-13-2179-5_4

Cite this

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title = "Duality in the Sachdev-Ye-Kitaev model",

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{\textquoteright}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.",

keywords = "Collective field theory, Holographic correspondence, Large N expansion",

author = "Das, {Sumit R.} and Animik Ghosh and Antal Jevicki and Kenta Suzuki",

note = "Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd. 2018.; International 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 ; Conference date: 19-06-2017 Through 25-06-2017",

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language = "English",

isbn = "9789811321788",

series = "Springer Proceedings in Mathematics and Statistics",

pages = "43--61",

editor = "Vladimir Dobrev",

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Das, SR, Ghosh, A, Jevicki, A & Suzuki, K 2018, Duality in the Sachdev-Ye-Kitaev model. in V Dobrev (ed.), Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 - QTS-X/LT-XII, 2017. Springer Proceedings in Mathematics and Statistics, vol. 255, pp. 43-61, International 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, 6/19/17. https://doi.org/10.1007/978-981-13-2179-5_4

Duality in the Sachdev-Ye-Kitaev model. / Das, Sumit R.; Ghosh, Animik; Jevicki, Antal et al.
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 - QTS-X/LT-XII, 2017. ed. / Vladimir Dobrev. 2018. p. 43-61 (Springer Proceedings in Mathematics and Statistics; Vol. 255).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Suzuki, Kenta

N1 - Publisher Copyright: © Springer Nature Singapore Pte Ltd. 2018.

PY - 2018

Y1 - 2018

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AB - 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.

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Duality in the Sachdev-Ye-Kitaev model

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