Abstract :
We study the c = 1 conformal field theory of a free compactified boson with radius r = √β (β is an integer). The Fock space of this boson is constructed in terms of chiral “anyon” vertex operators and each state is labeled by an infinite set of pseudo-momenta of filled particles in pseudo-Dirac sea. Wave functions of multi-anyon states are described by eigenfunctions of the Calogero-Sutherland (CS) model. This is a natural generalization of the boson-fermion correspondence in one dimension to the boson-anyon correspondence. There is also an interesting duality between anyons with statistics θ = π/β and particles with statistics θ = βπ.
