Three dimensional view of the SYK/AdS duality

By Sumit R. Das, A. Jevicki, Kenta Suzuki. Journal of High Energy Physics, 2017

155 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/99304a314d271bec8a8513df5214e2b7b60ff34e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. V. Rosenhaus
2. Tom Mertens
3. D. Gross
4. Alexei Y. Kitaev
5. S. J. Suh
6. G. Turiaci
7. N. Beisert
8. D. Stanford

In Nuclear and High Energy Physics

1. V. Rosenhaus
2. Tom Mertens
3. D. Gross
4. D. Stanford
5. Alexei Y. Kitaev
6. S. J. Suh
7. G. Turiaci
8. M. Berkooz

Citations in the corpus

• All point correlation functions in SYK (2017, background): “See [40] for work in a similar direction.”
• The Schwarzian theory — origins (2018, background): “Sachdev-Ye-Kitaev (SYK) models of N Majorana fermions with random all-to-all interactions have received a host of attention in the past few years [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], mainly due to the appearance of maximally chaotic behavior [13, 14, 15, 16, 17], suggesting a 2d holographic dual”