Two-matrix model and c=1 string theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, LaTeX, SISSA 54/94/EP (misprints corrected)

Scientific paper

10.1016/0370-2693(95)00153-C

We show that the most general two--matrix model with bilinear coupling underlies $c=1$ string theory. More precisely we prove that $W_{1+\infty}$ constraints, a subset of the correlation functions and the integrable hierarchy characterizing such two--matrix model, correspond exactly to the $W_{1+\infty}$ constraints, to the discrete tachyon correlation functions and to the integrable hierarchy of the $c=1$ string.

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