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Extremal stringy black holes in equilibrium at first order in $α'$
by Tomás Ortín, Alejandro Ruipérez, Matteo Zatti
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Tomás Ortín |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2112.12764v2 (pdf) |
| Date accepted: | 2023-10-11 |
| Date submitted: | 2023-10-04 10:51 |
| Submitted by: | Ortín, Tomás |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| 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
- 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.
- 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.
- 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.
- At the beginning of page 7 (end of page 6 in the previous version) we
have replaced ``we'' by ``two 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.
- 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)