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PreprintarXiv licencearXiv

On eigenvectors of the SYK model

Abstract

We consider the Sachdev-Ye-Kitaev model with N Majorana fermions and interaction order q. For even q∈ {2,4,...,N−2}, we give an elementary proof and show that the eigenvectors of the model are completely delocalized in all deterministic directions.

BibTeX
@misc{he2026eigenvectors,
  title = {{On eigenvectors of the SYK model}},
  author = {Yukun He},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.35024},
  eprint = {2609.35024},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.35024},
}
RIS
TY  - UNPB
TI  - On eigenvectors of the SYK model
AU  - Yukun He
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.35024
UR  - https://arxiv.org/abs/2609.35024
AB  - We consider the Sachdev-Ye-Kitaev model with N Majorana fermions and interaction order q. For even q∈ {2,4,...,N−2}, we give an elementary proof and show that the eigenvectors of the model are completely delocalized in all deterministic directions.
ER  -