Modular S-matrix
= Modular S-matrix
{title2=$S_{ab}$}
The <matrix> of <Hopf link> evaluations divided by the <total quantum dimension> $\mathcal D$. In a unitary <modular tensor category> it is a symmetric <unitary matrix>, with $S_{1a}=d_a/\mathcal D$ and $S_{\bar a b}=S_{ab}^*$. Its columns diagonalize the <anyon fusion matrices> through the <Verlinde formula>.