Three dimensional regular black string via loop corrections

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.

V2: 12 pages, 6 figures, typos corrected, version to appear in JHEP

References in corpus (4)

• Duality and Dilaton
• Non-singular string cosmology via ${\alpha }^{\prime }$ corrections
• Construct ${\alpha }^{\prime }$ corrected or loop corrected solutions without curvature singularities
• Resolving naked singularities in ${\alpha }^{\prime }$-corrected string theory

Cited by in corpus (4)

• Large $D$ gravity and low $D$ string via ${\alpha }^{\prime }$ corrections
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• Two non-perturbative ${\alpha }^{\prime }$ corrected or loop corrected string cosmological solutions
• Revisiting Schwarzschild black hole singularity through string theory