On the scaling behaviour of an integrable spin chain with ${\mathcal{Z}}_r$ symmetry

Abstract

The subject matter of this work is a 1D quantum spin - $\frac{1}{2}$ chain associated with the inhomogeneous six-vertex model possessing an additional ${\mathcal{Z}}_r$ 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 $r$.

31 pages, 8 figures, 2 tables

References in corpus (3)

• Phase Diagram of an Integrable Alternating $U_q[sl(2|1)]$ Superspin Chain
• Scaling limit of the ${\mathcal{Z}}_2$ invariant inhomogeneous six-vertex model
• Some Algebraic Aspects of the Inhomogeneous Six-Vertex Model

Cited by in corpus (5)

• Bethe ansatz inside Calogero-Sutherland models
• Scaling limit of the ground state Bethe roots for the inhomogeneous XXZ spin-$\frac{1}{2}$ chain
• Managing Singular Kernels and Logarithmic Corrections in the Staggered Six-Vertex Model
• Finite-size spectrum of the staggered six-vertex model with antidiagonal boundary conditions
• The $D_3^{(2)}$ spin chain and its finite-size spectrum