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 |
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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 | |
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 |
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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 |
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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