Matrix Model and Time-like Linear Dilaton Matter

Abstract

We consider a matrix model description of the 2d string theory whose matter part is given by a time-like linear dilaton CFT. This is equivalent to the c=1 matrix model with a deformed, but very simple fermi surface. Indeed, after a Lorentz transformation, the corresponding 2d spacetime is a conventional linear dilaton background with a time-dependent tachyon field. We show that the tree level scattering amplitudes in the matrix model perfectly agree with those computed in the world-sheet theory. The classical trajectories of fermions correspond to the decaying D-branes in the time-like linear dilaton CFT. We also discuss the ground ring structure. Furthermore, we study the properties of the time-like Liouville theory by applying this matrix model description. We find that its ground ring structure is very similar to that of the minimal string.

30 pages, harvmac, typos corrected, acknowledgements and comments added(v2), published version (v3)

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• c=1 Matrix Model from String Field Theory
• 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
• c < 1 String from Two Dimensional Black Holes
• Energy Quantisation in Bulk Bouncing Tachyon
• Notes on S-Matrix of Non-critical N=2 String
• Topological String on OSP(1|2)/U(1)
• ZZ Brane Decay in D Dimensions
• The two-sphere partition function from timelike Liouville theory at three-loop order