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

authored by: Holger Frahm, Sascha Gehrmann, Rafael I. Nepomechie, Ana L. Retore
Abstract: 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.
Organisation(s): Institute of Theoretical Physics
External Organisation(s): University of Miami (UM)
University of Durham
Type: Article
Journal: Journal of High Energy Physics
Volume: 95
No. of pages: 32
ISSN: 1029-8479
Publication date: 16.11.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Nuclear and High Energy Physics, Condensed Matter Physics, Mathematical Physics
Electronic version(s): https://doi.org/10.48550/arXiv.2307.11511 (Access: Open)
https://doi.org/10.1007/JHEP11(2023)095 (Access: Open)

BibTeX

@article{4532560a3140400ea9e35485f588f327,
title = "The D(2)3spin chain and its finite-size spectrum",
abstract = "Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic \(D^{(2)}_3\) 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. ",
keywords = "Bethe Ansatz, Conformal and W Symmetry, Effective Field Theories, Lattice Integrable Models",
author = "Holger Frahm and Sascha Gehrmann and Nepomechie, {Rafael I.} and Retore, {Ana L.}",
note = "Funding Information: The authors thank Yacine Ikhlef, Gleb A. Kotousov and M{\'a}rcio 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 Universit{\"a}t Hannover, the Lower Saxony Ministry of Science and Culture and the DFG. Publisher Copyright: {\textcopyright} 2023, The Author(s).",
year = "2023",
month = nov,
day = "16",
doi = "10.1007/JHEP11(2023)095",
language = "English",
volume = "95",
journal = "Journal of High Energy Physics",
issn = "1029-8479",
publisher = "Springer Verlag",
number = "11",
}

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

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