Singularity Theory for W-Algebra Potentials

Abstract

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.

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

References in corpus (1)

• Lagrangians for the W-Algebra Models

Cited by in corpus (2)

• New renormalization group study of the 3-state Potts model and related statistical models
• Landau-Ginzburg Lagrangians of minimal $W$-models with an integrable perturbation