High Energy Physics - Theory
[Submitted on 30 Nov 2021 (v1), last revised 17 Dec 2021 (this version, v2)]
Title:Non-supersymmetric black holes with $α'$ corrections
View PDFAbstract:We study extremal 5- and 4-dimensional black hole solutions of the Heterotic Superstring effective action at first order in $\alpha'$ with, respectively, 3 and 4 charges of arbitrary signs. For a particular choice of the relative signs of these charges the solutions are supersymmetric, but other signs give rise to non-supersymmetric extremal black holes. Although at zeroth order all these solutions are formally identical, we show that the $\alpha'$ corrections are drastically different depending on how we break supersymmetry. We provide fully analytic $\mathcal{O}(\alpha')$ solutions and we compute their charges, masses and entropies and check that they are invariant under $\alpha'$-corrected T-duality transformations. The masses of some of these black holes are corrected in a complicated way, but we show that the shift is always negative, in agreement with the Weak Gravity Conjecture. Our formula for the corrected entropy of the four-dimensional black holes generalizes previous results obtained from the entropy function method, as we consider a more general way in which supersymmetry can be broken.
Submission history
From: Alejandro Ruiperez [view email][v1] Tue, 30 Nov 2021 17:19:48 UTC (52 KB)
[v2] Fri, 17 Dec 2021 13:16:56 UTC (52 KB)
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