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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2403.16724 |
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| _version_ | 1866911812144857088 |
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| author | Belhaj, Adil Bouhouch, Abderrahim |
| author_facet | Belhaj, Adil Bouhouch, Abderrahim |
| contents | Using $N = 2$ supergravity formalism, we investigate certain behaviors of five dimensional black objects from the compactification of M-theory on a Calabi-Yau three-fold. The manifold has been constructed as the intersection of two homogeneous polynomials of degrees $ (ω+2,1)$ and $ (2,1) $ in a product of two weighted projective spaces given by $ \mathbb{WP}^{4}(ω,1,1,1,1) \times\mathbb{P}^{1}$. First, we determine the allowed electric charge regions of the BPS and non BPS black holes obtained by wrapping M2-branes on appropriate two cycles in such a proposed Calabi-Yau three-fold. After that, we calculate the entropy of these solutions which takes a maximal value corresponding to $ω=1$ defining the ordinary projective space $\mathbb{P}^{4}$. For generic values of $ω$, we show that the non BPS states are unstable. Then, we conduct a similar study of five dimensional black strings. Concerning the allowed magnetic charge regions of the BPS and non BPS black stringy solutions derived from M5-branes on dual divisors, we calculate the tension taking a minimal value for $\mathbb{P}^{4}$. By determining the recombination factor, we show that the non-BPS black string states are stable in the allowed regions in the magnetic charge space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16724 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Stability Behaviors of 5D M-theory Black Objects Belhaj, Adil Bouhouch, Abderrahim High Energy Physics - Theory Using $N = 2$ supergravity formalism, we investigate certain behaviors of five dimensional black objects from the compactification of M-theory on a Calabi-Yau three-fold. The manifold has been constructed as the intersection of two homogeneous polynomials of degrees $ (ω+2,1)$ and $ (2,1) $ in a product of two weighted projective spaces given by $ \mathbb{WP}^{4}(ω,1,1,1,1) \times\mathbb{P}^{1}$. First, we determine the allowed electric charge regions of the BPS and non BPS black holes obtained by wrapping M2-branes on appropriate two cycles in such a proposed Calabi-Yau three-fold. After that, we calculate the entropy of these solutions which takes a maximal value corresponding to $ω=1$ defining the ordinary projective space $\mathbb{P}^{4}$. For generic values of $ω$, we show that the non BPS states are unstable. Then, we conduct a similar study of five dimensional black strings. Concerning the allowed magnetic charge regions of the BPS and non BPS black stringy solutions derived from M5-branes on dual divisors, we calculate the tension taking a minimal value for $\mathbb{P}^{4}$. By determining the recombination factor, we show that the non-BPS black string states are stable in the allowed regions in the magnetic charge space. |
| title | On Stability Behaviors of 5D M-theory Black Objects |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.16724 |