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 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.

arXiv commentV1: 6 pages, 2 figures; V2: 7 pages, 2 figures, typos corrected, version to appear in Eur. Phys. J. C

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Cited by in corpus (2)

• Large $D$ gravity and low $D$ string via ${\alpha }^{\prime }$ corrections
• Black hole solutions in double field theory