Holographic tensor network for double-scaled SYK
High Energy Physics - Theory
2025-10-08 v3
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.
Cite
@article{arxiv.2503.23003,
title = {Holographic tensor network for double-scaled SYK},
author = {Kazumi Okuyama},
journal= {arXiv preprint arXiv:2503.23003},
year = {2025}
}
Comments
13 pages; v3: minor corrections