Conservation laws for Z(N) symmetric quantum spin models and their exact ground state energies
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We derive an infinite set of conserved charges for some Z(N) symmetric quantum spin models by constructing their Lax pairs. These models correspond to the Potts model, Ashkin-Teller model and the particular set of self-dual Z(N) models solved by Fateev and Zamolodchikov . The exact ground state energy for this last family of hamiltonians is also presented. © 1986.