W_∞ algebra in the integer quantum Hall effects

1994/03/14 by Hiroo Azuma · 1 citation
Physics and Astronomy · #hep-th #cond-mat

paper · pdf · doi:10.1143/ptp/92.2.293

published as Prog.Theor.Phys. 92 (1994) 293-308 · 23 pages, UT-671

arxiv created 1994/03/14 · arxiv updated 2017/02/01

Abstract

We investigate the W_∞ algebra in the integer quantum Hall effects. Defining the simplest vacuum, the Dirac sea, we evaluate the central extension for this algebra. A new algebra which contains the central extension is called the W_1+∞ algebra. We show that this W_1+∞ algebra is an origin of the Kac-Moody algebra which determines the behavior of edge states of the system. We discuss the relation between the W_1+∞ algebra and the incompressibility of the integer quantum Hall system.

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