On the Landau-Ginzburg description of $(A_1^{(1)})^{\oplus N}$ invariants

Details On the Landau-Ginzburg description of $(A_1^{(1)})^{\oplus N}$ invariants On the Landau-Ginzburg description of $(A_1^{(1)})^{\oplus N}$ invariants

1992-10-09

arxiv.org/abs/hep-th/9210053v1

Int.J.Mod.Phys. A9 (1994) 1287-1304

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, CERN-TH.6669/92

Scientific paper

We search for a \Lg\ interpretation of non-diagonal modular invariants of tensor products of minimal $n=2$ superconformal models, looking in particular at automorphism invariants and at some exceptional cases. For the former we find a simple description as \lgo s, which reproduce the correct chiral rings as well as the spectra of various Gepner--type models and orbifolds thereof. On the other hand, we are able to prove for one of the exceptional cases that this conformal field theory cannot be described by an orbifold of a \Lg\ model with respect to a manifest linear symmetry of its potential.

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