Details
| Original language | English |
|---|---|
| Article number | 095 |
| Number of pages | 32 |
| Journal | Journal of High Energy Physics |
| Volume | 95 |
| Issue number | 11 |
| Early online date | 21 Jul 2023 |
| Publication status | Published - 16 Nov 2023 |
Abstract
Keywords
- Bethe Ansatz, Conformal and W Symmetry, Effective Field Theories, Lattice Integrable Models
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Mathematics(all)
- Mathematical Physics
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In: Journal of High Energy Physics, Vol. 95, No. 11, 095, 16.11.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The D(2)3spin chain and its finite-size spectrum
AU - Frahm, Holger
AU - Gehrmann, Sascha
AU - Nepomechie, Rafael I.
AU - Retore, Ana L.
N1 - Funding Information: 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. Publisher Copyright: © 2023, The Author(s).
PY - 2023/11/16
Y1 - 2023/11/16
N2 - Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic \(D^{(2)}_3\) spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regime \(\gamma\in(0,\pi/4)\). 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.
AB - Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic \(D^{(2)}_3\) spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regime \(\gamma\in(0,\pi/4)\). 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.
KW - Bethe Ansatz
KW - Conformal and W Symmetry
KW - Effective Field Theories
KW - Lattice Integrable Models
UR - http://www.scopus.com/inward/record.url?scp=85177053572&partnerID=8YFLogxK
U2 - 10.1007/JHEP11(2023)095
DO - 10.1007/JHEP11(2023)095
M3 - Article
AN - SCOPUS:85177053572
VL - 95
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
IS - 11
M1 - 095
ER -