\(OSp(n|2m)\) quantum chains with free boundaries

authored by: Holger Frahm, Márcio J. Martins
Abstract: In this paper we investigate the spectrum of \(OSp(n|2m)\) quantum spin chains with free boundary conditions. We compute the surface free energy of these models which, similar to other properties in the thermodynamic limit including the effective central charge of the underlying conformal field theory, depends on \(n-2m\) only. For several models in the regime \(n-2m< 2\) we have studied the finite-size properties including the subleading logarithmic corrections to scaling. As in the case of periodic boundary conditions we find the existence of a tower of states with the same conformal dimension as the identity operator. As expected the amplitudes of the corresponding logarithmic corrections differ from those found previously for the models with periodic boundary conditions. We point out however the existence of simple relations connecting such amplitudes for free and periodic boundaries. Based on our findings we formulate a conjecture on the long distance behaviour of the bulk and surface watermelon correlators.
Organisation(s): Institute of Theoretical Physics
External Organisation(s): Universidade Federal de São Carlos (UFSCar)
Type: Article
Journal: Nuclear Physics B
Volume: 980
ISSN: 0550-3213
Publication date: 07.2022
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Nuclear and High Energy Physics
Electronic version(s): https://arxiv.org/abs/2202.13405v1 (Access: Open)
https://doi.org/10.1016/j.nuclphysb.2022.115799 (Access: Open)

BibTeX

@article{25b6a489f1644a5c98110bf843dbb99e,
title = "\(OSp(n|2m)\) quantum chains with free boundaries",
abstract = " In this paper we investigate the spectrum of \(OSp(n|2m)\) quantum spin chains with free boundary conditions. We compute the surface free energy of these models which, similar to other properties in the thermodynamic limit including the effective central charge of the underlying conformal field theory, depends on \(n-2m\) only. For several models in the regime \(n-2m< 2\) we have studied the finite-size properties including the subleading logarithmic corrections to scaling. As in the case of periodic boundary conditions we find the existence of a tower of states with the same conformal dimension as the identity operator. As expected the amplitudes of the corresponding logarithmic corrections differ from those found previously for the models with periodic boundary conditions. We point out however the existence of simple relations connecting such amplitudes for free and periodic boundaries. Based on our findings we formulate a conjecture on the long distance behaviour of the bulk and surface watermelon correlators. ",
keywords = "hep-th, cond-mat.stat-mech",
author = "Holger Frahm and Martins, {M{\'a}rcio J.}",
note = "Funding Information: Partial support for the work of HF is provided by the Deutsche Forschungsgemeinschaft under grant No. Fr 737/9-2 within the research unit Correlations in Integrable Quantum Many-Body Systems (FOR2316). The work of MJM was supported in part by the Brazilian Research Council CNPq through the grants 304758/2017-7 .",
year = "2022",
month = jul,
doi = "10.1016/j.nuclphysb.2022.115799",
language = "English",
volume = "980",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
}