Proves holonomicity of conformal blocks sheaves and that flat sections are spanned by trace functions for quasi-lisse vertex algebras satisfying finiteness and semisimplicity, generalizing Zhu's theorem with a dimension coincidence for admissible affine cases.
Modularity forW-algebras and affine Springer fibres
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At boundary admissible levels, the affine vertex operator superalgebra for a type I basic classical Lie superalgebra has exactly u irreducible ordinary modules, while for type II or ordinary Lie algebras it has only itself.
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Modular invariance of characters of quasi-lisse vertex algebras
Proves holonomicity of conformal blocks sheaves and that flat sections are spanned by trace functions for quasi-lisse vertex algebras satisfying finiteness and semisimplicity, generalizing Zhu's theorem with a dimension coincidence for admissible affine cases.
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Classification of the irreducible ordinary modules for affine vertex operator superalgebras
At boundary admissible levels, the affine vertex operator superalgebra for a type I basic classical Lie superalgebra has exactly u irreducible ordinary modules, while for type II or ordinary Lie algebras it has only itself.