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arXiv · 2511.03397

Localizing punctures in M-theory

Christopher Couzens·Alice Lüscher·James Sparks
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Abstract

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.

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Christopher Couzens, Alice Lüscher, James Sparks. 2025-11-05. Localizing punctures in M-theory. https://arxiv.org/abs/2511.03397

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