Three dimensional regular black string via loop corrections

TL;DR

This paper demonstrates that a new set of non-local dilaton potentials in effective loop corrections can successfully resolve the singularity of three-dimensional black strings, which previous potentials could not achieve.

Contribution

It introduces a novel class of non-local dilaton potentials that effectively resolve singularities in three-dimensional black strings via loop corrections.

Findings

Singularity of 3D black string is resolved by new loop correction potentials.

Previous potentials failed to regularize the black string singularity.

Loop corrections can be used to smooth out spacetime singularities in lower-dimensional models.

Abstract

It is well known that some spacetime singularities of low energy effective action can be resolved by the effective loop corrections. However, the known potentials for the loop corrections fail to regulate the singularity of three dimensional black string. An alternative method is to introduce an extra flat spatial direction and boost away the singularity by using the $O\left(d,d\right)$ rotation with the special Kalb-Ramond field. In this paper, we investigate a new set of non-local dilaton potentials for the effective loop corrections. The result shows that the singularity of three dimensional black string can be consistently resolved by the loop corrections.