# Three dimensional view of the SYK/AdS duality

## Abstract

We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS _{2}, and subject to a delta function potential at the center of the interval along the third direction. This, through Kaluza-Klein procedure on AdS _{2} × (S ^{1})/Z _{2}, generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore, the leading 1/J correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing credence to a conjecture that the bulk dual of this model can be interpreted as a three dimensional theory.

- Authors:

- Univ. of Kentucky, Lexington, KY (United States)
- Brown Univ., Providence, RI (United States)

- Publication Date:

- Research Org.:
- Brown Univ., Providence, RI (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1424011

- Grant/Contract Number:
- sc0010010

- Resource Type:
- Journal Article: Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 2D Gravity; AdS-CFT Correspondence; Gauge-gravity correspondence

### Citation Formats

```
Das, Sumit R., Jevicki, Antal, and Suzuki, Kenta.
```*Three dimensional view of the SYK/AdS duality*. United States: N. p., 2017.
Web. doi:10.1007/JHEP09(2017)017.

```
Das, Sumit R., Jevicki, Antal, & Suzuki, Kenta.
```*Three dimensional view of the SYK/AdS duality*. United States. doi:10.1007/JHEP09(2017)017.

```
Das, Sumit R., Jevicki, Antal, and Suzuki, Kenta. Tue .
"Three dimensional view of the SYK/AdS duality". United States.
doi:10.1007/JHEP09(2017)017. https://www.osti.gov/servlets/purl/1424011.
```

```
@article{osti_1424011,
```

title = {Three dimensional view of the SYK/AdS duality},

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

abstractNote = {We show that the spectrum of the SYK model can be interpreted as that of a 3D scalar coupled to gravity. The scalar has a mass which is at the Breitenholer-Freedman bound of AdS2, and subject to a delta function potential at the center of the interval along the third direction. This, through Kaluza-Klein procedure on AdS2 × (S1)/Z2, generates the spectrum reproducing the bi-local propagator at strong coupling. Furthermore, the leading 1/J correction calculated in this picture reproduces the known correction to the poles of the SYK propagator, providing credence to a conjecture that the bulk dual of this model can be interpreted as a three dimensional theory.},

doi = {10.1007/JHEP09(2017)017},

journal = {Journal of High Energy Physics (Online)},

number = 9,

volume = 2017,

place = {United States},

year = {Tue Sep 05 00:00:00 EDT 2017},

month = {Tue Sep 05 00:00:00 EDT 2017}

}

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Cited by: 25 works

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