https://doi.org/10.1140/epjc/s10052-025-14504-3
Regular Article - Theoretical Physics
Black holes and black strings in M-theory on Calabi–Yau threefolds with four Kähler parameters
1
Faculty of Science, Mohammed V University in Rabat, 4 Avenue Ibn Battouta, Rabat, Morocco
2
LHEP-MS, Mohammed V University in Rabat, Rabat, Morocco
3
LPMS, University of Ibn Tofail, Kénitra, Morocco
Received:
16
March
2025
Accepted:
9
July
2025
Published online:
25
August
2025
Combining toric geometry techniques and 
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.
M. B. Sedra: Authors in alphabetical order.
© The Author(s) 2025
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