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Holographic tensor network for double-scaled SYK

Kazumi Okuyama

SciPost Phys. 19, 083 (2025) · published 2 October 2025

Abstract

We construct a holographic tensor network for the double-scaled SYK model (DSSYK). The moment of the transfer matrix of DSSYK can be mapped to the matrix product state (MPS) of a spin chain. By adding the height direction as a holographic direction, we recast the MPS for DSSYK into the holographic tensor network whose building block is a 4-index tensor with the bond dimension three.


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