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.
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Article funded by SCOAP3.
Das, Sumit R.; Jevicki, Antal; and Suzuki, Kenta, "Three Dimensional View of the SYK/AdS Duality" (2017). Physics and Astronomy Faculty Publications. 505.