Three dimensional view of the SYK/AdS duality
Three dimensional view of the SYK/AdS duality
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DOI：
10.1007/jhep09(2017)017
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发表时间：
2017-04
影响因子：
5.4
通讯作者：
Sumit R. Das;A. Jevicki;Kenta Suzuki
中科院分区：
文献类型：
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作者：
Sumit R. Das;A. Jevicki;Kenta Suzuki
我们表明，SYK模型的谱可以解释为与重力耦合的3D标量的谱。标量的质量在AdS 2的Breitenholer-Freedman边界上，并在沿沿着第三方向的区间中心处服从δ函数势.这通过Kaluza-Klein方法在AdS 2×（S1）/Z2上产生了强耦合下双局域传播子的再生谱.此外，在这幅图中计算的领先1/J校正再现了已知的SYK传播子的极点校正，为该模型的体对偶可以被解释为三维理论的猜想提供了证据。
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.