Holger Frahm
The D 3 2 spin chain and its finite-size spectrum
Frahm, Holger; Gehrmann, Sascha; Nepomechie, Rafael I.; Retore, Ana L.
Authors
Sascha Gehrmann
Rafael I. Nepomechie
Dr Ana Retore ana.retore@durham.ac.uk
Post Doctoral Research Associate
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 |
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Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
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