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 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.
- Publication:
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Nuclear Physics B
- Pub Date:
- February 1995
- DOI:
- 10.1016/0550-3213(95)00135-F
- arXiv:
- arXiv:hep-th/9411051
- Bibcode:
- 1995NuPhB.443..581I
- Keywords:
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- High Energy Physics - Theory;
- Condensed Matter
- E-Print:
- 17 pages