= Two-index symmetric representation
{title2=$\operatorname{Sym}^2V$}
The two-index symmetric representation of $SU(N)$ is the symmetric square of its fundamental representation. For $N\ge3$, it has dimension $N(N+1)/2$, Dynkin index $N+2$, and cubic anomaly coefficient $N+4$ when the fundamental index and anomaly are normalized to one. For $N=2$, the <Dynkin index> formula still applies in the stated normalization, but every symmetric cubic <trace> vanishes, so the stated fundamental-normalized <cubic anomaly coefficient> is not defined.
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