Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 307 / 3 / iv / Solution

The composite ${\chi }^{ij}$ is in the two-index symmetric representation of $SU(p)$ and hasFor that representation,Its anomalies are consequentlyin the same order as part iii. Every anomaly matches, so confinement to the proposed massless composite is consistent with 't Hooft anomaly matching.