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

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OriginalspracheEnglisch
Aufsatznummer70
Seitenumfang32
FachzeitschriftJournal of High Energy Physics
Jahrgang2022
Ausgabenummer1
PublikationsstatusVeröffentlicht - 14 Jan. 2022

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.

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Finite size spectrum of the staggered six-vertex model with \(U_q(sl(2))\)-invariant boundary conditions. / Frahm, Holger; Gehrmann, Sascha.
in: Journal of High Energy Physics, Jahrgang 2022, Nr. 1, 70, 14.01.2022.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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AU - Frahm, Holger

AU - Gehrmann, Sascha

PY - 2022/1/14

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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.

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KW - hep-th

KW - math-ph

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DO - 10.1007/JHEP01(2022)070

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JF - Journal of High Energy Physics

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