On Non-Critical Superstring/Black Hole Transition

TL;DR

This paper investigates the transition between non-critical superstrings and black holes in two-dimensional string theory, analyzing entropy behaviors and subleading corrections to understand the interpolation between string and black hole states.

Contribution

It introduces a detailed comparison of entropies and computes subleading corrections, providing new insights into the string/black hole transition in non-critical string models.

Findings

High energy densities of states match at the transition point.

Entropy interpolates between string and black hole expressions.

Subleading corrections to black hole entropy are explicitly calculated.

Abstract

An interesting case of string/black hole transition occurs in two-dimensional non-critical string theory dressed with a compact CFT. In these models the high energy densities of states of perturbative strings and black holes have the same leading behavior when the Hawking temperature of the black hole is equal to the Hagedorn temperature of perturbative strings. We compare the first subleading terms in the black hole and closed string entropies in this setting and argue that the entropy interpolates between these expressions as the energy is varied. We compute the subleading correction to the black hole entropy for a specific simple model.