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 the D4 representation of Z4 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.
- Affine Lie algebras
- conformal field theory
- modular invariant partition function
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics