The universal chiral partition function for exclusion statistics

Abstract

We demonstrate the equality between the universal chiral partition function, which was first found in the context of conformal field theory and Rogers-Ramanujan identities, and the exclusion statistics introduced by Haldane in the study of the fractional quantum Hall effect. The phenomena of multiple representations of the same conformal field theory by different sets of exclusion statistics is discussed in the context of the $\hat{u}(1)$ theory of a compactified boson of radius $R.$

14 pages in revtex. References added and the section on multiple representations of u(1) expanded

References in corpus (15)

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• Equation of State of an Anyon Gas in a Strong Magnetic Field
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• Anyon Basis of c=1 Conformal Field Theory
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• The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in $1+1$-dimensional quantum field theory
• N=2 Supersymmetry and Bailey Pairs
• A-D-E Polynomial and Rogers--Ramanujan Identities
• The perturbations ${\varphi }_{2,1}$ and ${\varphi }_{1,5}$ of the minimal models $M(p,p^{\prime })$ and the trinomial analogue of Bailey's lemma

Cited by in corpus (11)

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• Exclusion statistics in conformal field theory and the UCPF for WZW models
• Macroscopic properties of A-statistics
• What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT
• Thermopower and thermoelectric power factor of ${\mathbb{Z}}_k$ parafermion quantum dots
• Stability and Activation Gaps of Parafermionic Hall States in the Second Landau Level
• Multipartitions, Generalized Durfee Squares and Affine Lie Algebra Characters
• `Composite particles' and the eigenstates of Calogero-Sutherland and Ruijsenaars-Schneider
• Comment on the paper ``The universal chiral partition function for exclusion statistics''
• Local height probabilities in a composite Andrews-Baxter-Forrester model
• The partition function for "composite particles"