Finite size properties of staggered image superspin chains Original Research Article

Based on the exact solution of the eigenvalue problem for the image vertex model built from alternating three-dimensional fundamental and dual representations by means of the algebraic Bethe ansatz we investigate the ground state and low energy excitations of the corresponding mixed superspin chain for deformation parameter image. The model has a line of critical points with central charge image and continua of conformal dimensions grouped into sectors with γ-dependent lower edges for image. The finite size scaling behavior is consistent with a low energy effective theory consisting of one compact and one non-compact bosonic degree of freedom. In the ‘ferromagnetic’ regime image the critical theory has image with exponents varying continuously with the deformation parameter. Spin and charge degrees of freedom are separated in the finite size spectrum which coincides with that of the image spin chain. In the intermediate regime image the finite size scaling of the ground state energy depends on the deformation parameter.