The finite-length module category over M(1)^+ is a vertex braided tensor category, used to prove semisimplicity of C_{-1}(sp(2n)) and a Schur-Weyl duality via commutant pairs.
Perše, O., Vukorepa, I.: Tensor category KL_k(sl(2n)) via minimal affine W-algebras at the non-admissible level k=-(2n+1)/2
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Tensor category of $\mathbb{Z}_2$-orbifold of Heisenberg vertex operator algebra and its applications
The finite-length module category over M(1)^+ is a vertex braided tensor category, used to prove semisimplicity of C_{-1}(sp(2n)) and a Schur-Weyl duality via commutant pairs.