## 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