Exotic plasma as Hall Liquid

A non-relativistic plasma model endowed with an “exotic” structure associated with the two-parameter central extension of the planar Galilei group is constructed. Introducing a Chern-Simons statistical gauge field provides us with a self-consistent system; when the magnetic field takes a critical value determined by the extesion parameters, the fluid becomes incompressible and moves collectively, according to the Hall law. PACS numbers : 73.43.Cd, 71.10.Hf, 71.10.-w, 52.30.Cv