, Volume 71, Issue 5-6, pp 865-901

Construction of modular branching functions from Bethe's equations in the 3-state Potts chain

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We use the single-particle excitation energies and the completeness rules of the 3-state antiferromagnetic Potts chain, which have been obtained from Bethe's equation, to compute the modular invariant partition function. This provides a fermionic construction for the branching functions of theD 4 representation ofZ 4 parafermions which complements the bosonic constructions. It is found that there are oscillations in some of the correlations and a new connection with the field theory of the Lee-Yang edge is presented.