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

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Abstract

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.

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  1. Institute for Theoretical Physics, State University of New York, 11794, Stony Brook, New York

    Rinat Kedem & Barry M. McCoy

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  1. Rinat Kedem
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Kedem, R., McCoy, B.M. Construction of modular branching functions from Bethe's equations in the 3-state Potts chain. J Stat Phys 71, 865–901 (1993). https://doi.org/10.1007/BF01049953

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  • DOI: https://doi.org/10.1007/BF01049953

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