Lagrangians for the W-Algebra Models

Physics – High Energy Physics – High Energy Physics - Theory

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18 pages, UTTG-15-92

Scientific paper

10.1016/0550-3213(94)90062-0

The field algebra of the minimal models of W-algebras is amenable to a very simple description as a polynomial algebra generated by few elementary fields, corresponding to order parameters. Using this description, the complete Landau-Ginzburg lagrangians for these models are obtained. Perturbing these lagrangians we can explore their phase diagrams, which correspond to multicritical points with $D_n$ symmetry. In particular, it is shown that there is a perturbation for which the phase structure coincides with that of the IRF models of Jimbo et al.

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