Abstract 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.

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landauginzburg realizations fixed points rightmoving supersymmetric sector n2 minimal central charge ade classification chiral algebra isolated superconformal theories tensor products characteristics

Sean M. Gholson,Ilarion V. Melnikov,.Small Landau-Ginzburg theories. 2019 (4),.

Sean M. Gholson,Ilarion V. Melnikov,"Small Landau-Ginzburg theories" 2019

Sean M. Gholson,Ilarion V. Melnikov,"Small Landau-Ginzburg theories"