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A<sc>bstract</sc> Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic$$ {D}_3^{(2)} $$ spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regimeγ∈ (0,$$ \frac{\pi }{4} $$ ). Besides two compact degrees of freedom, we identify two independent continuous components in the finite-size spectrum. The influence of large twist angles on the latter reveals also the presence of discrete states. This allows for a conjecture on the central charge of the conformal field theory describing the scaling limit of the lattice model.more » « less
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de Leeuw, Marius; Nepomechie, Rafael I.; Retore, Ana L. (, Journal of High Energy Physics)A<sc>bstract</sc> We introduce new classes of integrable models that exhibit a structure similar to that of flag vector spaces. We present their Hamiltonians,R-matrices and Bethe-ansatz solutions. These models have a new type of generalized graded algebra symmetry.more » « less
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