Notes on a singular Landau-Ginzburg family
Abstract
We study some properties of a singular Landau-Ginzburg family characterized by the multi-variable superpotential W=-X-1(Y1Y2)n-1 + 1 n (Y1Y2)n - Y3Y4. We will argue that (the infra-red limit of) this theory describes the topological degrees of freedom of the c=1 string compactified at n times the self-dual radius. We also briefly comment on the possible realization of these line singularities as singularities of Calabi-Yau manifolds.
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