The $D_3^{(2)}$ spin chain and its finite-size spectrum

Abstract

Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic $D_3^{(2)}$ spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in the parameter regime $\gamma \in (0,\frac{\pi }{4})$. Besides two compact degrees of freedom, we identify two independent continuous components in the finite-size spectrum. The influence of large twist angles on the latter reveals also the presence of discrete states. This allows for a conjecture on the central charge of the conformal field theory describing the scaling limit of the lattice model.

v2: minor improvements e.g. typo fixing

References in corpus (11)

• Anderson Transitions
• Non compact conformal field theory and the a_2^{(2)} (Izergin-Korepin) model in regime III
• 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
• Lattice regularisation of a non-compact boundary conformal field theory
• Finite size spectrum of the staggered six-vertex model with $U_q(\mathfrak{sl}(2))$-invariant boundary conditions
• Integrable boundary conditions for staggered vertex models
• Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
• Elaborating the phase diagram of spin-1 anyonic chains
• Non compact continuum limit of two coupled Potts models
• On the scaling behaviour of an integrable spin chain with ${\mathcal{Z}}_r$ symmetry

Cited by in corpus (1)

• Quantum-group-invariant $D_{n+1}^{(2)}$ models: Bethe ansatz and finite-size spectrum