Integrable Boundary Boltzmann Weights And Surface Free Energy Inversion Relations of The Chiral Potts Model

Research Report MRR98-044

Integrable Boundary Boltzmann Weights And Surface Free Energy Inversion Relations of The Chiral Potts Model

Yu-Kui Zhou

Abstract: The integrability of the chiral Potts model with boundaries is considered in this paper. The boundary star-triangle relation determining the boundary Boltzmann weights for the chiral Potts model is presented. By solving the boundary star-triangle relation the boundary Boltzmann weights are obtained. The fusion procedure then is applied to derive the functional relations of the transfer matrices of the model with the boundaries. From these functional relations the inversion relations of the surface free energies are extracted when the system size is big enough. Surprisingly, the inversion relation of the local surface free energy is as simple as those of other non-chiral models, but it is open to be solved.

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