Degeneracy of non-Abelian quantum Hall states on the torus: domain walls and conformal field theory

DOI10.1088/1742-5468/2008/04/P04016zbMath1459.81131arXiv0802.0675MaRDI QIDQ5853621

Emil J. Bergholtz, Emma Wikberg, Janik Kailasvuori, Eddy Ardonne

Publication date: 11 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0675

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Many-body theory; quantum Hall effect (81V70)

Related Items (1)

Spin chain description of rotating bosons at ν = 1

Cites Work

• Unnamed Item
• Conformal field theory
• Fusion rules and modular transformations in 2D conformal field theory
• Wavefunctions for topological quantum registers
• Topological degeneracy of non-abelian states for dummies
• The Andrews-Gordon identities and \(q\)-multinomial coefficients
• Exclusion statistics in conformal field theory -- generalized fermions and spinons for level-\(1\) WZW theories
• Paired Hall states
• Fault-tolerant quantum computation by anyons
• Parafermion statistics and application to non-Abelian quantum Hall states
• Filling the Bose sea: symmetric quantum Hall edge states and affine characters
• Topological quantum computation
• ‘One-dimensional’ theory of the quantum Hall system
• Parafermion Hall states from coset projections of abelian conformal theories
• Quantum groups and non-Abelian braiding in quantum Hall systems

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