English

Quantum Group and $q$-Virasoro Current in Fermion Systems

High Energy Physics - Theory 2017-02-01 v2

Abstract

We discuss a generalization of the quantum group \su\su to the qq-Virasoro algebra in two-dimensional electrons system under uniform magnetic field. It is shown that the integral representations of both algebras are reduced to those in a (1+1)-dimensional fermion. As an application of the quantum group symmetry, we discuss a model of quantum group current on the analogy of the Hall current.

Keywords

Cite

@article{arxiv.hep-th/9312174,
  title  = {Quantum Group and $q$-Virasoro Current in Fermion Systems},
  author = {H-T. Sato},
  journal= {arXiv preprint arXiv:hep-th/9312174},
  year   = {2017}
}

Comments

20 pages, Latex. Title changed