Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Liu, Zhengwei, Zhao, Zishuo
Institution: Tsinghua University
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214168648