English

Supersymmetric Quantum Hall Effect on Fuzzy Supersphere

High Energy Physics - Theory 2009-11-10 v3 Mesoscale and Nanoscale Physics

Abstract

Supersymmetric quantum Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wavefunction, which is a ground state of a hard-core OSp(12)OSp(1|2) invariant Hamiltonian. We also present excited topological objects, which are fractionally charged deficits made by super Hall currents. Several relations between quantum Hall systems and their supersymmetric extensions are discussed.

Keywords

Cite

@article{arxiv.hep-th/0411137,
  title  = {Supersymmetric Quantum Hall Effect on Fuzzy Supersphere},
  author = {Kazuki Hasebe},
  journal= {arXiv preprint arXiv:hep-th/0411137},
  year   = {2009}
}

Comments

Typos corrected, 5 pages, to be published in PRL

R2 v1 2026-07-22T15:27:03.975Z