Exact solution and finite size properties of the $U_{q}[osp(2|2m)]$ vertex model

Details Exact solution and finite size properties of the $U_{q}[osp(2|2m)]$ vertex model Exact solution and finite size properties of the $U_{q}[osp(2|2m)]$ vertex model

2006-12-27

arxiv.org/abs/hep-th/0612281v1

Nucl.Phys.B768:219-246,2007

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 8 figures, latex

Scientific paper

10.1016/j.nuclphysb.2007.01.022

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 $m\geq 2$ the finite size term related to the conformal anomaly depends on the anisotropy which indicates a multicritical behaviour typical of loop models.

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