At the critical level the centerless subregular W-algebra equals an orbifold of the large-level principal W-superalgebra of sl_{n|1} times a lattice VOA, inducing block-wise equivalences of module categories.
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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.
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Feigin-Semikhatov duality at the critical level
At the critical level the centerless subregular W-algebra equals an orbifold of the large-level principal W-superalgebra of sl_{n|1} times a lattice VOA, inducing block-wise equivalences of module categories.
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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.