Anyon basis of c = 1 conformal field theory - INSPIRE

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Anyon basis of c = 1 conformal field theory

Satoshi Iso
(
- Tokyo U.
)

Nov, 1994

17 pages

Published in:

Nucl.Phys.B 443 (1995) 581-595

e-Print:

hep-th/9411051 [hep-th]

DOI:

10.1016/0550-3213(95)00135-F

Report number:

UT-692

View in:

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Abstract:

We study the

c=1

conformal field theory of a free compactified boson with radius

r=\sqrt{\beta}

(

\beta

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{\beta}

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

\theta=\pi/\beta

and particle with statistics

\theta=\beta \pi

.

field theory: conformal
dimension: 2
central charge: 1
compactification: boson
Hamiltonian formalism
field theory: collective
operator: vertex
phase space
postulated particle: anyon

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Figures(0)

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