Exclusion Statistics in Conformal Field Theory Spectra

Details Exclusion Statistics in Conformal Field Theory Spectra Exclusion Statistics in Conformal Field Theory Spectra

1997-06-17

arxiv.org/abs/cond-mat/9706166v1

Phys.Rev.Lett.79:2608-2611,1997

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, LaTeX (uses revtex)

Scientific paper

10.1103/PhysRevLett.79.2608

We propose a new method for investigating the exclusion statistics of quasi-particles in Conformal Field Theory (CFT) spectra. The method leads to one-particle distribution functions, which generalize the Fermi-Dirac distribution. For the simplest $su(n)$ invariant CFTs we find a generalization of Gentile parafermions, and we obtain new distributions for the simplest $Z_N$-invariant CFTs. In special examples, our approach reproduces distributions based on `fractional exclusion statistics' in the sense of Haldane. We comment on applications to fractional quantum Hall effect edge theories.

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