Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-02-24
Phys.Lett. B313 (1993) 45-54
Physics
High Energy Physics
High Energy Physics - Theory
Caltech preprint, February 1993, 16pp. (Restored truncated line and corrected minor typos.)
Scientific paper
10.1016/0370-2693(93)91189-T
RSOS models based on the Lie algebras $B_m$, $C_m$ and $D_m$ are derived from the braiding of conformal field theory. This gives the first systematic derivation of these models earlier described by Jimbo et al. The general two field Boltzmann weights associated to any RCFT are described, giving in particular the off critical thermalized Boltzmann weights. Crossing properties are discussed and are shown to agree with the general theory which connects these with toroidal modular transformations. The soliton systems based on these lattice models are described and are conjectured based on the mass formulae and the spins of the integrals of motions to describe perturbations of the RCFT $G_k\times G_1\over G_{k+1}$, where $G$ is the corresponding Lie algebra.
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