Holographic tensor network for double-scaled SYK

Fuente: arXiv
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Autor principal: Okuyama, Kazumi
Formato: Preprint
Publicado: 2025
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author Okuyama, Kazumi
author_facet Okuyama, Kazumi
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_23003
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holographic tensor network for double-scaled SYK
Okuyama, Kazumi
High Energy Physics - Theory
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.
title Holographic tensor network for double-scaled SYK
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.23003