Bosonic fractional quantum Hall states on the torus from conformal field theory

DOI10.1088/1742-5468/2014/04/P04007zbMath1456.82166arXiv1312.5134MaRDI QIDQ3301912

Anne E. B. Nielsen, Germán Sierra

Publication date: 11 August 2020

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

Full work available at URL: https://arxiv.org/abs/1312.5134

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (4)

Matrix product approximations to conformal field theories ⋮ Chiral conformal field theory for topological states and the anyon eigenbasis on the torus ⋮ Conformal field theory and the non-abelian SU(2) _k chiral spin liquid ⋮ Lattice Laughlin states on the torus from conformal field theory

Cites Work

• Conformal field theory
• Bosonization on higher genus Riemann surfaces
• \(c=I\) conformal field theories on Riemann surfaces
• Many-body systems with nonabelian statistics
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Theta functions on Riemann surfaces
• Chiral operator product algebra and edge excitations of a fractional quantum Hall droplet
• Characterization of Topological Insulators: Chern Numbers for Ground State Multiplet
• Quantum spin Hamiltonians for theSU(2)_kWZW model

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