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Main Authors: Castellano, Alberto, Lüst, Dieter, Montella, Carmine, Zatti, Matteo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.15920
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author Castellano, Alberto
Lüst, Dieter
Montella, Carmine
Zatti, Matteo
author_facet Castellano, Alberto
Lüst, Dieter
Montella, Carmine
Zatti, Matteo
contents We compute the supersymmetric entropy of the most general BPS black hole in 4d $\mathcal{N}=2$ supergravity coupled to $n_V$ vector multiplets obtained from Type IIA string theory compactified on a Calabi-Yau threefold at large volume, including the all-genera leading-order $α'$-corrections. These can be equivalently seen as D0-brane quantum effects from a dual five-dimensional M-theory perspective. We find that these corrections generically lead to both perturbative and non-perturbative contributions to the black hole entropy. We argue that the exception occurs for certain specific configurations where the gauge background, seen through the lens of D0-brane probes, behaves as purely electric or purely magnetic, thereby accounting for the absence of such non-perturbative effects. To explore this further, we perform a semiclassical analysis of the (non-)BPS particle dynamics in the near-horizon geometry of the underlying black hole, which is described by a maximally supersymmetric AdS$_2\times \mathbf{S}^2$ solution. As a byproduct, this study provides additional insights into the (non-perturbative) stability of supersymmetric black hole solutions and suggests an interpretation in terms of complex saddles contributing to the worldline path integral.
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spellingShingle Quantum Calabi-Yau Black Holes and Non-Perturbative D0-brane Effects
Castellano, Alberto
Lüst, Dieter
Montella, Carmine
Zatti, Matteo
High Energy Physics - Theory
We compute the supersymmetric entropy of the most general BPS black hole in 4d $\mathcal{N}=2$ supergravity coupled to $n_V$ vector multiplets obtained from Type IIA string theory compactified on a Calabi-Yau threefold at large volume, including the all-genera leading-order $α'$-corrections. These can be equivalently seen as D0-brane quantum effects from a dual five-dimensional M-theory perspective. We find that these corrections generically lead to both perturbative and non-perturbative contributions to the black hole entropy. We argue that the exception occurs for certain specific configurations where the gauge background, seen through the lens of D0-brane probes, behaves as purely electric or purely magnetic, thereby accounting for the absence of such non-perturbative effects. To explore this further, we perform a semiclassical analysis of the (non-)BPS particle dynamics in the near-horizon geometry of the underlying black hole, which is described by a maximally supersymmetric AdS$_2\times \mathbf{S}^2$ solution. As a byproduct, this study provides additional insights into the (non-perturbative) stability of supersymmetric black hole solutions and suggests an interpretation in terms of complex saddles contributing to the worldline path integral.
title Quantum Calabi-Yau Black Holes and Non-Perturbative D0-brane Effects
topic High Energy Physics - Theory
url https://arxiv.org/abs/2505.15920