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

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

1996-01-31

arxiv.org/abs/hep-th/9602001v1

Phys.Lett.B380:42-48,1996

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, LaTeX

Scientific paper

10.1016/0370-2693(96)00473-X

We construct Landau-Ginzburg Lagrangians for minimal bosonic ($N=0$) $W$-models perturbed with the least relevant field, inspired by the theory of $N=2$ 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.

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