  The Landau-Ginzburg/Conformal Field Theory correspondence predicts tensor
equivalences between categories of matrix factorisations of certain polynomials
and categories associated to the $N=2$ supersymmetric conformal field theories.
We realise this correspondence for $x^d$ for any $d$, where previous results
were limited to odd $d$.
  Our proof uses the fact that both sides of the correspondence carry the
structure of module tensor categories over the category of
$\mathbb{Z}_d$-graded vector spaces equipped with a non-degenerate braiding.
This allows us to describe the CFT side as generated by a single object, and
use this to efficiently provide a functor realising the tensor equivalence.
