Gravitational Anomalies

February 9, 2023
5:00pm to 6:00pm

Blue Room

Specialist level
Pablo Saura Bastida

Blue Room


Pablo Saura Bastida (Universidad Politécnica de Cartagena & IFT) will present the paper "Gravitational Anomalies" by Luis Álvarez-Gaumé and Edward Witten (Nuclear Physics B234 (1983) 269-330).

It is shown that in certain parity-violating theories in 4k + 2 dimensions, general covariance is spoiled by anomalies at the one-loop level. This occurs when Weyl fermions of spin-½ or _3 or self-dual antisymmetric tensor fields are coupled to gravity. (For Dirac fermions there is no trouble.) The conditions for anomaly cancellation between fields of different spin is investigated. In six dimensions this occurs in certain theories with a fairly elaborate field content. In ten dimensions there is a unique theory with anomaly cancellation between fields of different spin. It is the chiral n = 2 supergravity theory, which is the low-energy limit of one of the superstring theories. Beyond ten dimensions there is no way to cancel anomalies between fields of different spin.

PDF iconAGW_gravAnom.pdf