Details
| Original language | English |
|---|---|
| Article number | 70 |
| Number of pages | 32 |
| Journal | Journal of High Energy Physics |
| Volume | 2022 |
| Issue number | 1 |
| Publication status | Published - 14 Jan 2022 |
Abstract
Keywords
- cond-mat.stat-mech, hep-th, math-ph, math.MP, Lattice Integrable Models, Conformal Field Theory, Bethe Ansatz
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of High Energy Physics, Vol. 2022, No. 1, 70, 14.01.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Finite size spectrum of the staggered six-vertex model with \(U_q(sl(2))\)-invariant boundary conditions
AU - Frahm, Holger
AU - Gehrmann, Sascha
PY - 2022/1/14
Y1 - 2022/1/14
N2 - 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.
AB - 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.
KW - cond-mat.stat-mech
KW - hep-th
KW - math-ph
KW - math.MP
KW - Lattice Integrable Models
KW - Conformal Field Theory
KW - Bethe Ansatz
UR - http://www.scopus.com/inward/record.url?scp=85122983195&partnerID=8YFLogxK
U2 - 10.1007/JHEP01(2022)070
DO - 10.1007/JHEP01(2022)070
M3 - Article
VL - 2022
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
IS - 1
M1 - 70
ER -