Nov 7 – 11, 2022
Kongresshaus Baden-Baden
Europe/Berlin timezone

Outer Automorphism Anomalies

Nov 8, 2022, 4:45 PM
15m
Kongresssaal 2

Kongresssaal 2

Talk All Quark Flavour

Speaker

Tom Melia (Kavli IPMU)

Description

We discuss anomalies associated with outer automorphisms in gauge theories based on classical groups, namely charge conjugations for SU(N) and parities for SO(2r). We emphasize the inequivalence between two versions of charge conjugation for SU(N) symmetries, and also two versions of parity for SO(2r) symmetries. The subgroups that commute with the outer automorphisms are identified. Some charge conjugations can lead to a paradox, which is resolved by the observation that they are anomalous and hence not symmetries. We then discuss anomaly matching conditions that involve the charge conjugations or parities. Interesting examples are given where the charge conjugation is spontaneously broken.

Primary author

Tom Melia (Kavli IPMU)

Presentation materials