Mock modularity at work, or black holes in a forest
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916838076579840 |
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| author | Alexandrov, Sergei |
| author_facet | Alexandrov, Sergei |
| contents | Mock modular forms, first invented by Ramanujan, provide a beautiful generalization of the usual modular forms. In recent years, it was found that they capture generating functions of the number of microstates of BPS black holes appearing in compactifications of string theory with 8 and 16 supercharges. This review describes these results and their applications which range from the actual computation of these generating functions for both compact and non-compact compactification manifolds (encoding, respectively, Donaldson-Thomas and Vafa-Witten topological invariants) to the construction of new non-commutative structures on moduli spaces of Calabi-Yau threefolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mock modularity at work, or black holes in a forest Alexandrov, Sergei High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Algebraic Geometry Number Theory Mock modular forms, first invented by Ramanujan, provide a beautiful generalization of the usual modular forms. In recent years, it was found that they capture generating functions of the number of microstates of BPS black holes appearing in compactifications of string theory with 8 and 16 supercharges. This review describes these results and their applications which range from the actual computation of these generating functions for both compact and non-compact compactification manifolds (encoding, respectively, Donaldson-Thomas and Vafa-Witten topological invariants) to the construction of new non-commutative structures on moduli spaces of Calabi-Yau threefolds. |
| title | Mock modularity at work, or black holes in a forest |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2505.02572 |