In integrable RSOS models, all Verlinde lines of diagonal minimal models are realized by spectral-parameter insertions: (1,s) lines are exactly topological on the lattice, (r>=2,s) lines only in the continuum limit, with analytically computed eigenvalues.
Solvable lattice models labelled by Dynkin diagrams
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abstract
An equivalence between generalised restricted solid-on-solid (RSOS) models, associated with sets of graphs, and multi-colour loop models is established. As an application we consider solvable loop models and in this way obtain new solvable families of critical RSOS models. These families can all be classified by the Dynkin diagrams of the simply-laced Lie algebras. For one of the RSOS models, labelled by the Lie algebra pair (A$_L$,A$_L$) and related to the C$_2^{(1)}$ vertex model, we give an off-critical extension, which breaks the Z$_2$ symmetry of the Dynkin diagrams.
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Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs
In integrable RSOS models, all Verlinde lines of diagonal minimal models are realized by spectral-parameter insertions: (1,s) lines are exactly topological on the lattice, (r>=2,s) lines only in the continuum limit, with analytically computed eigenvalues.