Matrix Models and Black Holes

TL;DR

This paper demonstrates that fluctuations in the one-dimensional matrix model obey equations similar to those of tachyons in a black hole background, implying the matrix model could non-perturbatively describe 2D black holes.

Contribution

It reveals a connection between matrix model fluctuations and black hole physics, suggesting a new non-perturbative approach to 2D string theory black holes.

Findings

Integral transform relates matrix model fluctuations to black hole tachyon equations

Matrix model fluctuations satisfy the same linearized equations as black hole tachyons

Supports the idea of a non-perturbative matrix model description of 2D 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.