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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.08591 |
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| _version_ | 1866918037045641216 |
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| author | Hosseini, Seyed Morteza Zaffaroni, Alberto |
| author_facet | Hosseini, Seyed Morteza Zaffaroni, Alberto |
| contents | We propose an entropy function for AdS$_4$ BPS black holes in M-theory with general magnetic charges, resolving in particular a long-standing puzzle about baryonic charges. The entropy function is constructed from a gravitational block defined solely in terms of topological data of the internal manifold. We show that the entropy of twisted black holes can always be reformulated as an $\mathcal{I}$-extremization problem -- even in cases where existing large-$N$ field theory computations fail to provide an answer. Furthermore, we correctly reproduce the entropy for a class of known black holes with purely baryonic magnetic charges. Our results offer both a conjecture for the general gravitational block for AdS$_4$ black holes in M-theory and a prediction for the large-$N$ limit of several partition functions whose saddle points have yet to be found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08591 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathcal{I}$-extremization with baryonic charges Hosseini, Seyed Morteza Zaffaroni, Alberto High Energy Physics - Theory We propose an entropy function for AdS$_4$ BPS black holes in M-theory with general magnetic charges, resolving in particular a long-standing puzzle about baryonic charges. The entropy function is constructed from a gravitational block defined solely in terms of topological data of the internal manifold. We show that the entropy of twisted black holes can always be reformulated as an $\mathcal{I}$-extremization problem -- even in cases where existing large-$N$ field theory computations fail to provide an answer. Furthermore, we correctly reproduce the entropy for a class of known black holes with purely baryonic magnetic charges. Our results offer both a conjecture for the general gravitational block for AdS$_4$ black holes in M-theory and a prediction for the large-$N$ limit of several partition functions whose saddle points have yet to be found. |
| title | $\mathcal{I}$-extremization with baryonic charges |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.08591 |