Singularity Theory for W-Algebra Potentials

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pp., LaTeX file, UVA-93-41

Scientific paper

10.1016/0370-2693(94)90070-1

The Landau potentials of $W_3$-algebra models are analyzed with algebraic-geometric methods. The number of ground states and the number of independent perturbations of every potential coincide and can be computed. This number agrees with the structure of ground states obtained in a previous paper, namely, as the phase structure of the IRF models of Jimbo et al. The singularities associated to these potentials are identified.

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