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Ruben Minasian : Non-abelian Tensor-Multiplet Anomalies from M-Theory

A surprising anomaly in diffeomorphisms acting on the normal bundle of the M-theory fivebrane remained a puzzle for almost two years. We present a cancellation mechanism based on a careful treatment of the fivebrane by smoothing it out through coupling to gravity which results in a relation between antisymmetric tensor gauge transformations and diffeomorphisms and leads to a complete cancellation of the anomalies. This formalism is used for derivation of the R-symmetry anomalies of the AN (0,2) tensor-multiplet theories and for understanding the role of anomalies in the AdS/CFT correspondence. The Kaluza-Klein origin of Chern-Simons terms in lower-dimensional supergravity theories is displayed via modification of the Freund-Rubin ansatz. The results imply the existence of interesting 1/N corrections in the AdS/CFT correspondence. A simple derivation of black hole entropy in d=4, N=2 compactifications of M-theory is presented.

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