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 γ ∈ (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.
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Acknowledgments
The authors thank Yacine Ikhlef, Gleb A. Kotousov and Márcio J. Martins for valuable discussions. HF and SG acknowledge funding provided by the Deutsche Forschungsgemeinschaft (DFG) under grant No. Fr 737/9-2 as part of the research unit Correlations in Integrable Quantum Many-Body Systems (FOR2316). RN was supported in part by the National Science Foundation under Grant No. NSF 2310594 and by a Cooper fellowship. ALR was supported by a UKRI Future Leaders Fellowship (grant number MR/T018909/1). Part of the numerical work has been performed on the LUH compute cluster, which is funded by the Leibniz Universität Hannover, the Lower Saxony Ministry of Science and Culture and the DFG.
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Frahm, H., Gehrmann, S., Nepomechie, R.I. et al. The \( {D}_3^{(2)} \) spin chain and its finite-size spectrum. J. High Energ. Phys. 2023, 95 (2023). https://doi.org/10.1007/JHEP11(2023)095
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DOI: https://doi.org/10.1007/JHEP11(2023)095