Holographic tensor network for double-scaled SYK

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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Publication Details

Journal
SciPost Physics
Published
2025-10-02
DOI
https://doi.org/10.21468/scipostphys.19.4.083
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Holographic tensor network for double-scaled SYK

Kazumi Okuyama
SciPost Physics
Black Holes and Theoretical Physics
article

Holographic tensor network for double-scaled SYK

Kazumi Okuyama
article en

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.

SciPost PhysicsVol. 19(4)
Ōtani University (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 88%
Black Holes and Theoretical Physics
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Holographic tensor network for double-scaled SYK — Kazumi Okuyama · SciPost Physics (2025) | TGRS Research Map | TGRS