Exact solution and finite size properties of the $U_q[osp(2|2m)]$ vertex model

Abstract

We have diagonalized the transfer matrix of the $U_q[osp(2|2m)]$ vertex model by means of the algebraic Bethe ansatz method for a variety of grading possibilities. This allowed us to investigate the thermodynamic limit as well as the finite size properties of the corresponding spin chain in the massless regime. The leading behaviour of the finite size corrections to the spectrum is conjectured for arbitrary $m$. For $m=1$ we find a critical line with central charge $c=-1$ whose exponents vary continuously with the $q$-deformation parameter. For $m\ge 2$ the finite size term related to the conformal anomaly depends on the anisotropy which indicates a multicritical behaviour typical of loop models.

arXiv comment40 pages, 8 figures, latex

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Cited by in corpus (12)

• Phase Diagram of an Integrable Alternating $U_q[sl(2|1)]$ Superspin Chain
• Finite size properties of staggered $U_q[sl(2|1)]$ superspin chains
• Critical Properties of an Integrable Supersymmetric Eletronic Model
• Scattering and duality in the 2 dimensional OSP(2|2) Gross Neveu and sigma models
• Reflection matrices for the $U_q[sl(m|n{)}^{(1)}]$ vertex model
• Continuum Limit of gl(M/N) Spin Chains
• The fine structure of the finite-size effects for the spectrum of the $OSp(n|2m)$ spin chain
• On the critical behaviour of the integrable $q$-deformed $OSp(3|2)$ superspin chain
• Spontaneous symmetry breaking in 2D supersphere sigma models and applications to intersecting loop soups
• Folding QQ-relations and transfer matrix eigenvalues: towards a unified approach to Bethe ansatz for super spin chains
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• Multi-parametric R-matrix for the sl(2|1) Yangian