On the scaling behaviour of the alternating spin chain

Abstract

In this note we report the results of our study of a 1D integrable spin chain whose critical behaviour is governed by a CFT possessing a continuous spectrum of scaling dimensions. It is argued that the computation of the density of Bethe states of the continuous theory can be reduced to the calculation of the connection coefficients for a certain class of differential equations whose monodromy properties are similar to those of the conventional confluent hypergeometric equation. The finite size corrections to the scaling are also discussed.

arXiv comment30 pages, 14 figures, v2: published version + misprints corrected

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Cited by in corpus (16)

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• TBA equations for the Schrödinger equation with a regular singularity
• Integrable boundary conditions in the antiferromagnetic Potts model
• Lattice regularisation of a non-compact boundary conformal field theory
• Spectrum of the reflection operators in different integrable structures
• Conformally invariant boundary conditions in the antiferromagnetic Potts model and the $SL(2,\mathbb{R})/U(1)$ sigma model
• Counting monster potentials
• Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs
• Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
• Analytic continuation of Bethe energies and application to the thermodynamic limit of the $SL(2,\mathbb{C})$ non-compact spin chains
• Scaling limit of the staggered six-vertex model with $U_q(\mathfrak{sl}(2))$ invariant boundary conditions
• Spin chains with boundary inhomogeneities
• Managing Singular Kernels and Logarithmic Corrections in the Staggered Six-Vertex Model
• Quantum-group-invariant $D_{n+1}^{(2)}$ models: Bethe ansatz and finite-size spectrum
• $U_q[OSp(3|2)]$ quantum chains with quantum group invariant boundaries
• Factorization identities and algebraic Bethe ansatz for $D_2^{(2)}$ models