Landau-Ginzburg Lagrangians of minimal W -models with an integrable perturbation

We construct Landau-Ginzburg Lagrangians for minimal bosonic (N = 0)W models perturbed with the least relevant field, inspired by the theory ofN = 2 supersymmetric Landau-Ginzburg Lagrangians. They agree with the Lagrangians for unperturbed models previously found with Zamolodchikov’s method. We briefly study their properties, e.g. the perturbation algebra and the soliton structure. We conclude that the known properties of N = 2 solitons (BPS, lines in W plane, etc.) hold as well. Hence, a connection with a generalized supersymmetric structure of minimal W -models is conjectured. PACS code: 11.25.Hf, 11.10.Kk, 11.10.Lm Research supported in part by the CICYT (Spain) under project PB92-1092. E-mail address: [email protected]