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

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

1993-12-22

arxiv.org/abs/hep-th/9312174v2

Prog. Theor. Phys. 93 (1995) 195-208

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex. Title changed

Scientific paper

10.1143/PTP.93.195

We discuss a generalization of the quantum group $\su$ to the $q$-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.

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