Quantum Symmetry on Potts Model

Abstract

We formulate the notion of quantum group symmetry of the Hamiltonian corresponding to Potts model and compute it for few simple models. Our examples illustrate how a slight change of the model parameter may result in a drastic change of the quantum symmetry group, (in some cases, the classical symmetry group remains unaffected) signifying a case of phase transition.

In previous versions, there was a slight mistake in example 2 of subsection 4.2. That has been corrected in this version

Cited by in corpus (2)

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• Quantum isomorphism of $2$-graphs