Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
Résumé
We derive the anomaly polynomials of 4d $ \mathcal{N}=2 $ theories that are obtained by wrapping M5-branes on a Riemann surface with arbitrary regular punctures, using anomaly inflow in the corresponding M-theory setup. Our results match the known anomaly polynomials for the 4d $ \mathcal{N}=2 $ class S SCFTs. In our approach, the contributions to the ’t Hooft anomalies due to boundary conditions at the punctures are determined entirely by G$_{4}$-flux in the 11d geometry. This computation provides a top-down derivation of these contributions that utilizes the geometric definition of the field theories, complementing the previous field-theoretic arguments.