Matrix Model and Timelike Linear Dilaton Matter
Abstract
We consider a matrix model description of the 2d string theory whose matter part is given by a timelike 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 timedependent tachyon field. We show that the tree level scattering amplitudes in the matrix model perfectly agree with those computed in the worldsheet theory. The classical trajectories of fermions correspond to the decaying Dbranes in the timelike linear dilaton CFT. We also discuss the ground ring structure. Furthermore, we study the properties of the timelike Liouville theory by applying this matrix model description. We find that its ground ring structure is very similar to that of the minimal string.
 Publication:

Journal of High Energy Physics
 Pub Date:
 December 2004
 DOI:
 10.1088/11266708/2004/12/071
 arXiv:
 arXiv:hepth/0411019
 Bibcode:
 2004JHEP...12..071T
 Keywords:

 Conformal Field Models in String Theory Tachyon Condensation 2D Gravity Matrix Models;
 High Energy Physics  Theory
 EPrint:
 30 pages, harvmac, typos corrected, acknowledgements and comments added(v2), published version (v3)