Quantum symmetry on Potts model
Copyright policy )Quantum symmetry on Potts model
We formulate the notion of quantum group symmetry of the Hamiltonian corresponding to the 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.
Subfactors and their classification, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 81R50 (Primary), 82B26, 81R60 (Secondary), Quantum equilibrium statistical mechanics (general), Quantum groups and related algebraic methods applied to problems in quantum theory
Subfactors and their classification, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 81R50 (Primary), 82B26, 81R60 (Secondary), Quantum equilibrium statistical mechanics (general), Quantum groups and related algebraic methods applied to problems in quantum theory
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