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PreprintarXiv licencearXiv

Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras

  • Zhengwei Liu
  • Zishuo Zhao
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Abstract

We introduce a class of 2d quantum spin systems based on a unitary spherical fusion category with a chosen object. These models have frustration-free, reflection positive, but generally non-commuting local interactions, generalizing the Levin-Wen string-net models. Based on the theory developed in arXiv:2510.20662, we explicitly realize the Temperley-Lieb-Jones algebra, and more generally fusion spin chains as their boundary algebras.

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Cite

BibTeXRIS
BibTeX
@misc{liu2026frustrationfree,
  title = {{Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras}},
  author = {Zhengwei Liu and Zishuo Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28120},
  eprint = {2609.28120},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28120},
}
RIS
TY  - UNPB
TI  - Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras
AU  - Zhengwei Liu
AU  - Zishuo Zhao
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28120
UR  - https://arxiv.org/abs/2609.28120
AB  - We introduce a class of 2d quantum spin systems based on a unitary spherical fusion category with a chosen object. These models have frustration-free, reflection positive, but generally non-commuting local interactions, generalizing the Levin-Wen string-net models. Based on the theory developed in arXiv:2510.20662, we explicitly realize the Temperley-Lieb-Jones algebra, and more generally fusion spin chains as their boundary algebras.
ER  -