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Main Authors: Belhaj, A., Belmahi, H., Bouhouch, A., Ennadifi, S. E., Sedra, M. B.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2501.07167
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author Belhaj, A.
Belmahi, H.
Bouhouch, A.
Ennadifi, S. E.
Sedra, M. B.
author_facet Belhaj, A.
Belmahi, H.
Bouhouch, A.
Ennadifi, S. E.
Sedra, M. B.
contents Combining toric geometry techniques and $\mathcal{N}=2$ supergravity formalisms, we study 5D black branes in the M-theory compactification on a four parameter Calabi-Yau threefold. First, we investigate 5D BPS and non-BPS black holes that are derived by wrapping M2-branes on non-holomorphic 2-cycles in such a toric Calabi-Yau manifold. Concretely, we provide the allowed electric charge regions of BPS and non-BPS black hole states that are obtained by surrounding M2-branes over appropriate 2-cycles. Then, we approach the black hole thermodynamic behavior by computing the entropy and the temperature. By evaluating the recombination factor, we examine the stability of such non-BPS black holes. Precisely, we find stable and unstable solutions depending on the allowed electric charge regions. After that, we study 5D black strings by wrapping M5-branes on non-holomorphic dual 4-cycles in the proposed toric Calabi-Yau manifold by focusing on the stability behaviors. In the allowed regions of the moduli space of the non-BPS stringy solutions, we find stable and unstable states depending on the magnetic charge values.
format Preprint
id arxiv_https___arxiv_org_abs_2501_07167
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Black Holes and Black Strings in M-theory on Calabi-Yau threefolds with four Kähler parameters
Belhaj, A.
Belmahi, H.
Bouhouch, A.
Ennadifi, S. E.
Sedra, M. B.
High Energy Physics - Theory
Combining toric geometry techniques and $\mathcal{N}=2$ supergravity formalisms, we study 5D black branes in the M-theory compactification on a four parameter Calabi-Yau threefold. First, we investigate 5D BPS and non-BPS black holes that are derived by wrapping M2-branes on non-holomorphic 2-cycles in such a toric Calabi-Yau manifold. Concretely, we provide the allowed electric charge regions of BPS and non-BPS black hole states that are obtained by surrounding M2-branes over appropriate 2-cycles. Then, we approach the black hole thermodynamic behavior by computing the entropy and the temperature. By evaluating the recombination factor, we examine the stability of such non-BPS black holes. Precisely, we find stable and unstable solutions depending on the allowed electric charge regions. After that, we study 5D black strings by wrapping M5-branes on non-holomorphic dual 4-cycles in the proposed toric Calabi-Yau manifold by focusing on the stability behaviors. In the allowed regions of the moduli space of the non-BPS stringy solutions, we find stable and unstable states depending on the magnetic charge values.
title Black Holes and Black Strings in M-theory on Calabi-Yau threefolds with four Kähler parameters
topic High Energy Physics - Theory
url https://arxiv.org/abs/2501.07167