On the Landau-Ginzburg Description of $N=2$ Minimal Models

Details On the Landau-Ginzburg Description of $N=2$ Minimal Models On the Landau-Ginzburg Description of $N=2$ Minimal Models

1993-04-07

arxiv.org/abs/hep-th/9304026v3

Int.J.Mod.Phys.A9:4783-4800,1994

Physics

High Energy Physics

High Energy Physics - Theory

24 pp., references added

Scientific paper

10.1142/S0217751X9400193X

The conjecture that $N=2$ minimal models in two dimensions are critical points of a super-renormalizable Landau-Ginzburg model can be tested by computing the path integral of the Landau-Ginzburg model with certain twisted boundary conditions. This leads to simple expressions for certain characters of the $N=2$ models which can be verified at least at low levels. An $N=2$ superconformal algebra can in fact be found directly in the {\it noncritical} Landau-Ginzburg system, giving further support for the conjecture.

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