  We brute-force evaluate the vacuum character for $\mathcal N=2$ vertex
operator algebras labelled by crystallographic complex reflection groups
$G(k,1,1)=\mathbb Z_k$, $k=3,4,6$, and $G(3,1,2)$. For $\mathbb Z_{3,4}$ and
$G(3,1,2)$ these vacuum characters have been conjectured to respectively
reproduce the Macdonald limit of the superconformal index for rank one and rank
two S-fold $\mathcal N=3$ theories in four dimensions. For the $\mathbb Z_3$
case, and in the limit where the Macdonald index reduces to the Schur index, we
find agreement with predictions from the literature.

High Energy Physics - Theory