Light-cone approach to random surfaces embedded in two dimensions

Abstract

We review the recently proposed \lc\ quantization of the matrix model which is expected to have a critical point describing 2-d quantum gravity coupled to $c=2$ matter. In the $N\to\infty$ limit, we derive a linear Schroedinger equation for the free string spectrum. Numerical study of this equation suggests that the spectrum is tachyonic, and that the string tension diverges at the critical point.

15 pages, PHYZZX, PUPT-1370 4 figures available as a postscript file from kresimir@puhep1.princeton.edu