Fateev-Zamolodchikov and Kashiwara-Miwa models: boundary star-triangle relations and surface critical properties

TL;DR

This paper derives boundary weights for Fateev-Zamolodchikov and Kashiwara-Miwa models, computes their surface free energies, and analyzes the critical surface exponent, revealing scaling relations between surface and bulk properties.

Contribution

It introduces boundary star-triangle relations for these models and calculates surface critical exponents, advancing understanding of boundary effects in integrable models.

Findings

Boundary Boltzmann weights derived from star-triangle relations.

Surface free energies computed for both models.

Surface critical exponent _s identified and related to bulk exponent _b via scaling relation.

Abstract

The boundary Boltzmann weights are found by solving the boundary star-triangle relations for the Fateev-Zamolodchikov and Kashiwara-Miwa models. We calculate the surface free energies of the models. The critical surface exponent \alpha_s of the Kashiwara-Miwa model is given and satisfies the scaling relation \alpha_b=2\alpha_s-2, where \alpha_b is the bulk exponent.