Localizing punctures in M-theory
Abstract
A bstract We use equivariant localization and holography to study four-dimensional $$ \mathcal{N}=1 $$ 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 $$ \mathcal{N}=2 $$ N = 2 preserving punctures, and derive new results for genuinely locally $$ \mathcal{N}=1 $$ N = 1 preserving punctures.
Fields of Study & Subjects
Black Holes and Theoretical Physics
Geometry and complex manifolds
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 2
- Publication date
- 17 February 2026
- Language
- EN