String Theory and Matrix Models

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It is generally accepted that the double-scaled 1D matrix model is equivalent to the $c=1$ string theory with tachyon condensation. There remain however puzzles that are to be clarified in order to utilize this connection for our quest towards possible non-perturbative formulation of string theory. We discuss some of the issues that are related to the space-time interpretation of matrix models, in particular, the questions of leg poles, causality, and black hole background. Finally, a speculation about a possible connection of a deformed matrix model with the idea of Dirichret brane is presented.
10 pages, uses latex with sprocl.sty, to appear in the Proceedings of the Workshop (Talk presented at the Workshop "Frontiers in Quantum Field Theories" in honor of the 60th birthday of Prof. Keiji Kikkawa, Osaka, Japan, December 1995.)

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