On the scaling behaviour of an integrable spin chain with Zr symmetry

The subject matter of this work is a 1D quantum spin-12 chain associated with the inhomogeneous six-vertex model possessing an additional Zr symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations a...

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Bibliographic Details
Main Authors: Gleb A. Kotousov, Sergei L. Lukyanov
Format: Article
Language:English
Published: Elsevier 2023-08-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321323001980
Description
Summary:The subject matter of this work is a 1D quantum spin-12 chain associated with the inhomogeneous six-vertex model possessing an additional Zr symmetry. The model is studied in a certain parametric domain, where it is critical. Within the ODE/IQFT approach, a class of ordinary differential equations and a quantization condition are proposed which describe the scaling limit of the system. Some remarkable features of the CFT underlying the critical behaviour are observed. Among them is an infinite degeneracy of the conformal primary states and the presence of a continuous component in the spectrum in the case of even r.
ISSN:0550-3213