On enriching the Levin–Wen model with symmetry

DOI10.1088/1751-8113/48/12/12FT01zbMath1321.82009arXiv1412.6589MaRDI QIDQ5245643

Pieter Naaijkens, Meng Cheng, Amanda Young, Ramis Movassagh, Yuting Hu, Zhenghan Wang, Wei Jin, Liang Chang, Shawn Xingshan Cui

Publication date: 14 April 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6589

zbMATH Keywords

Levin-Wen modelspin/boson systems

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Computing defects associated to bounded domain wall structures: the $\mathbb{Z}/p\mathbb{Z}$ case ⋮ Hamiltonian models for topological phases of matter in three spatial dimensions ⋮ Hamiltonian and algebraic theories of gapped boundaries in topological phases of matter ⋮ State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter ⋮ State sum invariants of three manifolds from spherical multi-fusion categories ⋮ Classification of gapped quantum liquid phases of matter ⋮ Anyons and matrix product operator algebras

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