Integrability of the critical point of the Kagom\'e three-state Potts mode

TL;DR

This paper investigates the critical point of the three-state Potts model on a Kagomé lattice, providing evidence that this point is integrable using Random Matrix Theory, which could impact understanding of phase transitions.

Contribution

The study offers the first strong evidence of integrability at the critical point of this specific lattice model through novel application of Random Matrix Theory.

Findings

Evidence supporting integrability of the critical point

Application of Random Matrix Theory to lattice models

Potential implications for phase transition analysis

Abstract

The vicinity of the critical point of the three-state Potts model on a Kagom\'e lattice is studied by mean of Random Matrix Theory. Strong evidence that the critical point is integrable is given.