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.
Logarithmic CFTs connected with simple Lie algebras
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abstract
For any root system corresponding to a semisimple simply-laced Lie algebra a logarithmic CFT is constructed. Characters of irreducible representations were calculated in terms of theta functions.
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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.