$U_q[OSp(3|2)]$ quantum chains with quantum group invariant boundaries

Abstract

Based on the finite-size analysis of the spectrum of the quantum group invariant deformation of the $OSp(3|2)$ superspin chain we identify the operator content of the conformal field theory describing the model in its scaling limit. We find that the macroscopic degeneracy of the conformal weights observed in the thermodynamic limit of the isotropic superspin chain is lifted by the deformation.

arXiv comment23 pages, 9 Figures

References in corpus (22)

• Addendum to ``Integrability of Open Spin Chains with Quantum Algebra Symmetry''
• Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains
• An integrable spin chain for the SL(2,R)/U(1) black hole sigma model
• Analytical Bethe Ansatz for $A_{2n-1}^{(2)},B_n^{(1)},C_n^{(1)},D_n^{(1)}$ quantum-algebra-invariant open spin chains
• Non compact conformal field theory and the a_2^{(2)} (Izergin-Korepin) model in regime III
• The Staggered Six-Vertex Model: Conformal Invariance and Corrections to Scaling
• 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
• Non-Linear Integral Equations for the SL(2,R)/U(1) black hole sigma model
• Finite size properties of staggered $U_q[sl(2|1)]$ superspin chains
• Spectrum of transfer matrix for $U_q(B_n)$-invariant $A_{2n}^{(2)}$ open spin chain
• Fused Potts Models
• On the scaling behaviour of the alternating spin chain
• Lattice regularisation of a non-compact boundary conformal field theory
• Conformally invariant boundary conditions in the antiferromagnetic Potts model and the $SL(2,\mathbb{R})/U(1)$ sigma model
• The continuum limit of $a_{N-1}^{(2)}$ spin chains
• Diagonal $K$-matrices and transfer matrix eigenspectra associated with the $G_2^{(1)}$ $R$-matrix
• Integrable boundary conditions for staggered vertex models
• Finite-size effects in the spectrum of the $OSp(3|2)$ superspin chain
• Equilibrium density matrices for the 2D black hole sigma models from an integrable spin chain
• On the critical behaviour of the integrable $q$-deformed $OSp(3|2)$ superspin chain
• $OSp(n|2m)$ quantum chains with free boundaries