Determines the Zhu algebras of N=1,2,3,4 and big N=4 superconformal vertex algebras and introduces Zhu algebras for N_K=N supersymmetric vertex algebras via Huang's definition for arbitrary vertex algebras.
arXiv:2507.10130, 2025
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Spectral flow yields a proof of unitarity for Ramond twisted non-extremal representations of unitary minimal W-algebras, independent of the conjectural exactness of twisted quantum reduction, plus equivalence results for extremal cases in specific algebras.
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Zhu algebras of superconformal vertex algebras
Determines the Zhu algebras of N=1,2,3,4 and big N=4 superconformal vertex algebras and introduces Zhu algebras for N_K=N supersymmetric vertex algebras via Huang's definition for arbitrary vertex algebras.
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Spectral flow and application to unitarity of representations of minimal $W$-algebras
Spectral flow yields a proof of unitarity for Ramond twisted non-extremal representations of unitary minimal W-algebras, independent of the conjectural exactness of twisted quantum reduction, plus equivalence results for extremal cases in specific algebras.