FIELD-THEORY OF ANYONS IN THE LOWEST LANDAU-LEVEL

We construct a field theory for anyons in the lowest Landau level star ting from the N-particle description, and discuss the connection to th e full field theory of anyons defined using a statistical gauge potent ial. The theory is transformed to free form, with the fields defined o n the circle and satisfying modified commutation relations, The Fock s pace of the anyons is discussed, and the theory is related to that of edge excitations of an anyon droplet in a harmonic-oscillator well.