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arXiv · hep-th/9210129

Construction of Modular Branching Functions from Bethe's Equations in the 3-State Potts Chain

Rinat Kedem·Barry M. Mccoy
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Abstract

We use the single particle excitation energies and the completeness rules of the 3-state anti-ferromagnetic 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 the $D_4$ representation of $Z_4$ parafermions which complements the previous 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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Rinat Kedem, Barry M. Mccoy. 1992-10-28. Construction of Modular Branching Functions from Bethe's Equations in the 3-State Potts Chain. https://doi.org/10.1007/bf01049953

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