English

Norms of wave functions for FQHE models on a torus

Mathematical Physics 2024-04-02 v1 Algebraic Geometry math.MP

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.

Keywords

Cite

@article{arxiv.2404.01108,
  title  = {Norms of wave functions for FQHE models on a torus},
  author = {Igor Burban and Semyon Klevtsov},
  journal= {arXiv preprint arXiv:2404.01108},
  year   = {2024}
}