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Minimal unitary models and the closed SU(2)_q invariant spin chain

We consider the Hamiltonian of the closed SU(2)_q invariant chain. We project a particular class of statistical models belonging to the unitary minimal series. A particular model corresponds to a particular value of the coupling constant. The operator content is derived. This class of models has charge-dependent boundary conditions. In simple cases (Ising, 3-state Potts) corresponding Hamiltonians are constructed. These are non-local as the original spin chain.

spin chain ; quantum group ; conformal field theory

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