Abstract
We use the anomaly cancellation of the M-theory fivebrane to derive the R-symmetry anomalies of theAN (0,2) tensor-multiplet theories. This result leads to a simple derivation of black hole entropy in d = 4, = 2 compactifications of M-theory. We also show how the formalism of normal bundle anomaly cancellation clarifies the Kaluza-Klein origin of Chern-Simons terms in gauged supergravity theories. The results imply the existence of interesting 1/N corrections in the AdS/CFT correspondence.