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Anyon Basis of c=1 Conformal Field Theory | | Satoshi Iso
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8 Nov 1994 | | Journal: | Nucl. Phys. B443 (1995) 581 | | Subject: | hep-th cond-mat | | Abstract: | We study the $c=1$ conformal field theory of a free compactified boson with radius $r=sqrt{eta}$ ($eta$ 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 $c=1$ conformal field theory at $r=sqrt{eta}$ 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 $ heta=pi/eta$ and particle with statistics $ heta=eta pi$. | | Source: | arXiv, hep-th/9411051 | | Services: | Forum | Review | PDF | Favorites | |
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