1992/09/08 by Satoshi Iso, Dimitra Karabali, B. Sakita · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/0370-2693(92)90816-m
published as Phys.Lett. B296 (1992) 143-150 · 16 pages
arxiv created 1992/09/08 · arxiv updated 2009/11/30
We present field theoretical descriptions of massless (2+1) dimensional nonrelativistic fermions in an external magnetic field, in terms of a fermionic and bosonic second quantized language. An infinite dimensional algebra, W∞, appears as the algebra of unitary transformations which preserve the lowest Landau level condition and the particle number. In the droplet approximation it reduces to the algebra of area-preserving diffeomorphisms, which is responsible for the existence of a universal chiral boson Lagrangian independent of the electrostatic potential. We argue that the bosonic droplet approximation is the strong magnetic field limit of the fermionic theory. The relation to the c=1 string model is discussed.