c < 1 string from two dimensional black holes

We study a topological string description of the c < 1 non-critical string whose matter part is defined by the time-like linear dilaton CFT. We show that the topologically twisted N=2 SL(2,R)/U(1) model (or supersymmetric 2D black hole) is equivalent to the c < 1 non-critical string compactified at a specific radius by comparing their physical spectra and correlation functions. We examine another equivalent description in the topological Landau-Ginzburg model and check that it reproduces the same scattering amplitudes. We also discuss its matrix model dual description.

string model: topological
field theory: conformal
dimension: 2
central charge: <2
black hole
Landau-Ginzburg model
Wess-Zumino-Witten model
correlation function
duality
matrix model

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