Frustration-Free Models for Topological Holography: Fusion Spin Chains as Boundary Algebras
math-ph, cond-mat.str-el, math.MP, math.OA, quant-ph
Submitted: 2026-09-23
Updated: 2026-09-23
Terminology
Sources
- Topological Defects on the Lattice: Dualities and Degeneracies
- Boundary algebras of the Kitaev Quantum Double model
- An operator algebraic approach to fusion category symmetry on the lattice
- Interacting anyons in topological quantum liquids: The golden chain
- Solving Gapped Hamiltonians Locally
- Reflection Positivity and Levin-Wen Models
- Holography for bulk-boundary local topological order
- Local topological order and boundary algebras
- DHR bimodules of quasi-local algebras and symmetric quantum cellular automata
- Non-invertible anomalies and mapping-class-group transformation of anomalous partition functions
- Fault-tolerant quantum computation by anyons
- Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
- Boundary-bulk relation in topological orders
- Generalized Kramers-Wannier Self-Duality in Hopf-Ising Models
- Dualities in one-dimensional quantum lattice models: topological sectors
- An entropic characterization of Haag duality
- String-net condensation: A physical mechanism for topological phases
- Topological Orders from Reflection Positive Frustration-free Hamiltonians
- Stability of Frustration-Free Hamiltonians
- Local topological order, Haag duality, and reflection positivity
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