Matrix Models and Black Holes

Abstract

We show that an integral transform of the fluctuations of the collective field of the $d=1$ matrix model satisfy the same linearized equation as that of the massless "tachyon" in the black hole background of the two dimensional critical string. This suggests that the $d=1$ matrix model may provide a non-perturbative description of black holes in two dimensional string theory.

12 pages. Preprint TIFR-TH-92/62 (with a Note added and additional references)

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• The Exact $S$-matrix of the Deformed $c=1$ Matrix Model
• Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings
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• c=1 Liouville Theory Perturbed by the Black-Hole Mass operator
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