c < 1 String from Two Dimensional Black Holes

Abstract

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.

36 pages, harvmac; acknowledgements, comments and references added

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Cited by in corpus (10)

• The String Theory on AdS_3 as a Marginal Deformation of a Linear Dilaton Background
• Notes On The S-Matrix Of Bosonic And Topological Non-Critical Strings
• Topological Cigar and the c=1 String : Open and Closed
• On the Connection between N=2 Minimal String and (1,n) Bosonic Minimal String
• Langlands duality in Liouville-H_3^+ WZNW correspondence
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• The Topological Cigar Observables
• Double Scaling Limits and Twisted Non-Critical Superstrings
• Notes on S-Matrix of Non-critical N=2 String
• Topological String on OSP(1|2)/U(1)