SciPost Submission Page
Extremal stringy black holes in equilibrium at first order in $α'$
by Tomás Ortín, Alejandro Ruipérez, Matteo Zatti
Submission summary
| Authors (as registered SciPost users): | Tomás Ortín |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2112.12764v2 (pdf) |
| Date accepted: | Oct. 11, 2023 |
| Date submitted: | Oct. 4, 2023, 10:51 a.m. |
| Submitted by: | Tomás Ortín |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We compute the first-order $\alpha'$ corrections to well-known families of heterotic multi-center black-hole solutions in five and four dimensions. The solutions can be either supersymmetric or non-supersymmetric, depending on the relative sign between two of the black-hole charges. For both cases, we find that the equilibrium of forces persists after including the $\alpha'$ corrections, as the existence of multi-center solutions free of unphysical singularities shows. We analyze the possibility of black-hole fragmentation.
Author comments upon resubmission
List of changes
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We have added a sentence in the paragraph above Eq.~(D.4) explaining how the vanishing of $T^{(2)}{}_{++}$ is related to that of $\mathcal{Z}_{+}$ in the non-supersymmetric case.
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We have added the word ``extremal'' to the next to last paragraph in page 4 and we have rewritten the first sentence of the last paragraph so make its meaning more clear.
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Furthermore, we have replaced Ref.~[16] by a reference to a more recent paper by one of us in which the corrections to the 4-charge solutions have been computed but only in the particular case in which two of them are equal. The case in which the 4 charges are independent still seems out of our reach. We have added an explanation of this facts.
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At the beginning of page 7 (end of page 6 in the previous version) we have replaced
we'' bytwo of us''. -
We have added the references on multicenter black-hole solutions in String Theory which we think are most relevant in this case in a long footnote at the beginning of Section~2.
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We have modified the paragraph above Eq.~(4.5) to refer to the definition of the curvature of the torsionful spin connection.
A detailed explanation of the changes is included in the answer to the referee's report.
Published as SciPost Phys. Core 6, 072 (2023)
