Anomaly Inflow for M5-branes on Punctured Riemann Surfaces

Abstract

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 $\mathcal{S}$ 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.

48 pages, 6 figures

References in corpus (6)

• Four-Dimensional SCFTs from M5-Branes
• Tinkertoys for Gaiotto Duality
• Anomaly polynomial of general 6d SCFTs
• Anomaly polynomial of E-string theories
• Class $\mathcal{S}$ Anomalies from M-theory Inflow
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow

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