Localizing punctures in M-theory
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917062375374848 |
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| author | Couzens, Christopher Lüscher, Alice Sparks, James |
| author_facet | Couzens, Christopher Lüscher, Alice Sparks, James |
| contents | We use equivariant localization and holography to study four-dimensional $\mathcal{N}=1$ superconformal field theories arising from M5-branes wrapped on a punctured Riemann surface. We explain how, given a Riemann surface with marked points, one can glue in a ``puncture geometry'' locally around each point. Using equivariant localization we show that the central charge consists of a bulk contribution plus localized puncture contributions. We recover and generalize the known results for locally $\mathcal{N}=2$ preserving punctures, and derive new results for genuinely locally $\mathcal{N}=1$ preserving punctures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03397 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Localizing punctures in M-theory Couzens, Christopher Lüscher, Alice Sparks, James High Energy Physics - Theory We use equivariant localization and holography to study four-dimensional $\mathcal{N}=1$ superconformal field theories arising from M5-branes wrapped on a punctured Riemann surface. We explain how, given a Riemann surface with marked points, one can glue in a ``puncture geometry'' locally around each point. Using equivariant localization we show that the central charge consists of a bulk contribution plus localized puncture contributions. We recover and generalize the known results for locally $\mathcal{N}=2$ preserving punctures, and derive new results for genuinely locally $\mathcal{N}=1$ preserving punctures. |
| title | Localizing punctures in M-theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.03397 |