A Matrix Model Black Hole

TL;DR

This paper explores a deformed $c=1$ matrix model to understand its connection with two-dimensional black holes, calculating tachyon correlations and analyzing singularity restrictions.

Contribution

It introduces a deformation of the $c=1$ matrix model and computes tachyon correlation functions up to genus two, linking the model to two-dimensional black hole physics.

Findings

Tachyon correlation functions calculated up to genus two.

Restrictions on naked singularities derived from the matrix model.

Potential connection between the deformed matrix model and 2D black holes.

Abstract

In this paper the $c=1$ matrix model deformed by a $1/x^{2}$ piece is discussed. Tachyon correlation functions are calculated up to genus two using methods similar to those for the undeformed case. The possible connection with the two dimensional black hole is also considered. In particular, restrictions on naked singularities imposed by the matrix model are found.