Finite size spectrum of the staggered six-vertex model with \(U_q(sl(2))\)-invariant boundary conditions

verfasst von
Holger Frahm, Sascha Gehrmann
Abstract

The finite size spectrum of the critical \(\mathbb{Z}_2\)-staggered spin-1/2 XXZ model with quantum group invariant boundary conditions is studied. For a particular (self-dual) choice of the staggering the spectrum of conformal weights of this model has been recently been shown to have a continuous component, similar as in the model with periodic boundary conditions whose continuum limit has been found to be described in terms of the non-compact \(SU(2,\mathbb{R})/U(1)\) Euclidean black hole conformal field theory (CFT). Here we show that the same is true for a range of the staggering parameter. In addition we find that levels from the discrete part of the spectrum of this CFT emerge as the anisotropy is varied. The finite size amplitudes of both the continuous and the discrete levels are related to the corresponding eigenvalues of a quasi-momentum operator which commutes with the Hamiltonian and the transfer matrix of the model.

Organisationseinheit(en)
Institut für Theoretische Physik
Typ
Artikel
Journal
Journal of High Energy Physics
Band
2022
Anzahl der Seiten
32
ISSN
1029-8479
Publikationsdatum
14.01.2022
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Kern- und Hochenergiephysik
Elektronische Version(en)
http://arxiv.org/abs/2111.00850 (Zugang: Offen)
https://doi.org/10.1007/JHEP01(2022)070 (Zugang: Offen)