Anyon basis of c = 1 conformal field theory
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 pseudomomenta of filled particles in pseudoDirac sea. Wave functions of multianyon states are described by eigenfunctions of the CalogeroSutherland (CS) model. This is a natural generalization of the bosonfermion correspondence in one dimension to the bosonanyon correspondence. There is also an interesting duality between anyons with statistics θ = π/ β and particles with statistics θ = βπ.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(95)00135F
 arXiv:
 arXiv:hepth/9411051
 Bibcode:
 1995NuPhB.443..581I
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter
 EPrint:
 17 pages