Two-Dimensional Black Hole and Nonperturbative String Theory

TL;DR

This paper explores the $c=1$ matrix model as a two-dimensional string theory with a dilaton-black hole background, revealing that quantum effects resolve classical singularities nonperturbatively.

Contribution

It provides a nonperturbative analysis of the $c=1$ matrix model as a black hole background, showing quantum corrections eliminate classical singularities.

Findings

Quantum corrections remove the classical singularity.

Nonperturbative formulation uses integrable fermion models.

Supports the view that quantum effects resolve black hole singularities.

Abstract

We discuss the interpertation of the $c=1$ matrix model as two-dimensional string theory in a dilaton-black hole background. The nonperturbative formulation of $c=1$ matrix model in terms of an integrable model of nonrelativistic fermions enables us to study the quantum fate of the classical black hole singularity. We find that the classical singularity is wiped out by quantum corrections when summed to all orders.