551 research outputs found
Anyon Basis of c=1 Conformal Field Theory
We study the conformal field theory of a free compactified boson with
radius ( is an integer). The Fock space of this boson
is constructed in terms of anyon vertex operators and each state is labeled by
an infinite set of pseudo-momenta of filled particles in pseudo-Dirac sea. Wave
function of multi anyon state is described by an eigenfunction of the
Calogero-Sutherland (CS) model. The conformal field theory at
gives a field theory of CS model. This is a natural
generalization of the boson-fermion correspondence in one dimension to
boson-anyon correspondence. There is also an interesting duality between anyon
with statistics and particle with statistics .Comment: 17 page
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