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arXiv · 2606.31987

BMPV black hole at first order in $\alpha'$

Alejandro Ruipérez
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Abstract

We consider the low-energy effective action of the heterotic string and derive an analytic solution describing the first-order $\alpha'$ corrections to the supersymmetric and extremal BMPV black hole with three unequal charges. The solution interpolates between an asymptotically-flat region and the near-horizon geometry. We compute the corrected black hole entropy using a generalization of Wald formula available in the literature, which correctly accounts for the Lorentz Chern-Simons term. The resulting expression agrees with recent results in the literature, which are based on the evaluation of an appropriate supersymmetric index.

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Alejandro Ruipérez. 2026-06-30. BMPV black hole at first order in $\alpha'$. https://arxiv.org/abs/2606.31987

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