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Small Landau-Ginzburg theories
We classify (0,2) Landau-Ginzburg theories that can flow to compact IR fixed
points with equal left and right central charges strictly bounded by 3. Our
result is a (0,2) generalization of the ADE classification of (2,2)
Landau-Ginzburg theories that flow to N=2 minimal models. Unitarity requires
the right-moving supersymmetric sector to fall into the standard N=2 minimal
model representations, but the left-moving sector need not have supersymmetry.
The Landau-Ginzburg realizations provide a simple way to compute the chiral
algebra and other characteristics of these fixed points. While our results
pertain to isolated superconformal theories, tensor products lead to (0,2)
superconformal theories with higher central charge, and the Landau-Ginzburg
realization provides a model for a class of marginal and relevant deformations
of such theories.Comment: 22 pages; typos fixed, added discussion on chiral algebr