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arXiv · 1704.07208

Three Dimensional View of the SYK/AdS Duality

Sumit R. Das·Antal Jevicki·Kenta Suzuki
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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$_2 \times (S^1)/Z_2$, 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.

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Sumit R. Das, Antal Jevicki, Kenta Suzuki. 2017-04-24. Three Dimensional View of the SYK/AdS Duality. https://doi.org/10.1007/jhep09(2017)017

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