  Let $M$ denote a specific cubic fourfold that accommodates a group action by
$\mathbb{Z}/3\mathbb{Z}$. Through utilization of derived Mckay correspondence,
we present a new proof establishing the identification of the equivariant
Kuznetsov component in the equivariant derived category of $M$ with the derived
category of certain abelian surface. This surface naturally emerges from the
defining equation of the cubic fourfold $M$.
