Notes on a singular Landau-Ginzburg family

Abstract

We study some properties of a singular Landau-Ginzburg family characterized by the multi-variable superpotential $W=-X^{-1}(Y_1{Y}_2{)}^{n-1}+\frac{1}{n}(Y_1{Y}_2{)}^n-Y_3{Y}_4$. 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.

16 pages in harvmac (b)

References in corpus (12)

• String Theory Dynamics In Various Dimensions
• Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes
• Massless Black Holes and Conifolds in String Theory
• Topological Amplitudes in String Theory
• Black Hole Condensation and the Unification of String Vacua
• c=1 String as the Topological Theory of the Conifold
• The Topological Matrix Model Of c=1 String
• Topological Landau-Ginzburg Formulation and Integrable Structure of 2d String Theory
• Chiral Rings Do Not Suffice: N=(2,2) Theories with Nonzero Fundamental Group
• Topological Landau-Ginzburg Model of Two-Dimensional String Theory
• Topological 2D String Theory: Higher-genus Amplitudes and W-infinity Identities
• Perturbation of the Ground Varieties of C = 1 String Theory

Cited by in corpus (1)

• Unification of M- and F- Theory Calabi-Yau Fourfold Vacua