Landau-Ginzburg skeletons

Understand

We study the class of indecomposable two-dimensional Landau-Ginzburg theories with (2,2) supersymmetry and central charge c < 6 with the aim of classifying all such theories up to marginal deformations.

• Our results include cases overlooked in previous classifications.
• The results are rigorous for three or fewer fields and more generally are rigorous if we assume an extra bound.
• Numerics suggest that we have the complete set of indecomposable Landau-Ginzburg families with c<6.