Quantum Hall states and conformal field theory on a singular surface

DOI10.1088/1751-8121/aa91dczbMath1380.81498arXiv1709.04397OpenAlexW2755048644MaRDI QIDQ4600894

Tankut Can, Paul B. Wiegmann

Publication date: 18 January 2018

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

Full work available at URL: https://arxiv.org/abs/1709.04397

zbMATH Keywords

conformal field theoryfractional quantum Hall effectadiabatic transportsingular geometry

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Many-body theory; quantum Hall effect (81V70) Transport processes in time-dependent statistical mechanics (82C70) Statistical thermodynamics (82B30) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (3)

Laughlin states on higher genus Riemann surfaces ⋮ Determinants of Laplacians for constant curvature metrics with three conical singularities on the 2-sphere ⋮ Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• FQHE on curved backgrounds, free fields and large \(N\)
• Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces
• Quantum Hall effect and Quillen metric
• Zeta function and regularized determinant on a disc and on a cone
• Geometry of quantum Hall states: gravitational anomaly and transport coefficients
• Spectral analysis and zeta determinant on the deformed spheres
• Analytic fields on Riemann surfaces. II
• Scattering matrices and conductances of leaky tori
• Effective action in spherical domains
• On functional determinants of Laplacians in polygons and simplicial complexes
• Coulomb systems seen as critical systems: Finite-size effects in two dimensions
• A local index theorem for families of \({\bar \partial}\)-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces
• Entanglement entropy and quantum field theory
• CONFORMAL FIELD THEORIES WITH ADDITIONAL Z_N SYMMETRY
• On the Uniformization of the n -Punctured Sphere
• ON LIOUVILLE'S EQUATION, ACCESSORY PARAMETERS, AND THE GEOMETRY OF TEICHMÜLLER SPACE FOR RIEMANN SURFACES OF GENUS 0
• Liouville Equation and Spherical Convex Polytopes
• Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on ℳ_{0,𝓃}
• Berry phases for Landau Hamiltonians on deformed tori
• Polyhedral surfaces and determinant of Laplacian
• Central charge from adiabatic transport of cusp singularities in the quantum Hall effect
• Lowest Landau level on a cone and zeta determinants
• On the Spectral Theory of the Laplacian on Compact Polyhedral Surfaces of Arbitrary Genus
• Large-Nexpansion for the 2D Dyson gas

This page was built for publication: Quantum Hall states and conformal field theory on a singular surface