The $D_3^{(2)}$ spin chain and its finite-size spectrum

Abstract

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 regime $\gamma \in (0,\frac{\pi }{4})$. 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.

arXiv commentv2: minor improvements e.g. typo fixing

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Cited by in corpus (1)

• Quantum-group-invariant $D_{n+1}^{(2)}$ models: Bethe ansatz and finite-size spectrum