Norms of wave functions for FQHE models on a torus

2024/04/01 by Igor Burban, Burban, Igor, Semyon Klevtsov +1 · 2 citations
Engineering · #Algebraic Geometry (math.AG) #Earthquake and Tsunami Effects #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Mathematical Physics (math-ph) #Vibration and Dynamic Analysis

paper · pdf · doi:10.48550/arxiv.2404.01108

openalex publication_date 2024/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The goal of this paper is to give an explicit computation of the curvature of the magnetic vector bundle of the multi-layer model of the fractional quantum Hall effect on a torus. We also obtain concrete formulae for the norms of the corresponding wave functions arising in such models.

Cited by

• Chern classes of the multilayer fractional quantum Hall bundle on Riemann surfaces
• The Chern character of the Laughlin vector bundle in the Fractional Quantum Hall Effect

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