Classification of gapped quantum liquid phases of matter

DOI10.1090/conm/747/15044zbMath1442.81012OpenAlexW3014038345MaRDI QIDQ3296041

Xiao-Gang Wen

Publication date: 3 July 2020

Published in: Topological Phases of Matter and Quantum Computation (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/1721.1/128521

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Statistical mechanics of liquids (82D15) Quantum coherence, entanglement, quantum correlations (81P40) Fusion categories, modular tensor categories, modular functors (18M20) Braided monoidal categories and ribbon categories (18M15)

Cites Work

• Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries
• Anyons in an exactly solved model and beyond
• On classification of modular tensor categories
• Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies
• Anomalies and Invertible Field Theories
• Non-Abelian statistics in the fractional quantum Hall states
• On enriching the Levin–Wen model with symmetry

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