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

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