Class S anomalies from M-theory inflow

Abstract

We present a first principles derivation of the anomaly polynomials of 4d N=2 class S theories of type AN-1 with arbitrary regular punctures, using anomaly inflow in the corresponding M-theory setup with N M5-branes wrapping a punctured Riemann surface. The labeling of punctures in our approach follows entirely from the analysis of the 11d geometry and G4 flux. We highlight the applications of the inflow method to the AdS/CFT correspondence.