Two-dimensional regular string black hole via complete $\alpha^{\prime}$ corrections

TL;DR

This paper demonstrates that complete $lpha^{}$ corrections can smooth out singularities in 2D string black holes, providing exact non-perturbative solutions that improve understanding of black hole singularity resolution in string theory.

Contribution

The work offers the first explicit construction of non-singular 2D black hole solutions incorporating all $lpha^{}$ corrections, advancing the study of black hole singularity resolution.

Findings

Derived classes of exact non-singular 2D black hole solutions

Showed complete $lpha^{}$ corrections remove singularities

Enhanced understanding of black hole structure in string theory

Abstract

In string theory, an important challenge is to show if the singularity of black holes can be smoothed out by the complete $\alpha^{\prime}$ corrections. The simplest case is to consider a 2D string black hole or 3D black string. This problem was discussed in a gauged Wess-Zumino-Witten (WZW) model and the results are supposed to be correct to all orders in $\alpha^{\prime}$ corrections. Based on the recent remarkable progress on classifying all the $\alpha^{\prime}$ corrections, in this work, we re-study this problem with the low energy effective spacetime action, and provide classes of exact non-perturbative and non-singular solutions of the 2D black hole via complete $\alpha^{\prime}$ corrections.