The D 3 2 spin chain and its finite-size spectrum

Frahm, Holger; Gehrmann, Sascha; Nepomechie, Rafael I.; Retore, Ana L.

Abstract

Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic D32 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, π4). 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.

Citation

Frahm, H., Gehrmann, S., Nepomechie, R. I., & Retore, A. L. (2023). The D 3 2 spin chain and its finite-size spectrum. Journal of High Energy Physics, 2023(11), Article 95. https://doi.org/10.1007/jhep11%282023%29095

• Journal Article Type: Article
• Acceptance Date: Nov 1, 2023
• Online Publication Date: Nov 16, 2023
• Publication Date: 2023-11
• Deposit Date: Nov 20, 2023
• Publicly Available Date: Nov 20, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 11
• Article Number: 95
• DOI: https://doi.org/10.1007/jhep11%282023%29095
• Keywords: Bethe Ansatz, Effective Field Theories, Conformal and W Symmetry, Lattice Integrable Models
• Public URL: https://durham-repository.worktribe.com/output/1932363