For every l >= 5, the vacuum block of the level -1 simple affine vertex algebra of type D_l has exactly l+1 irreducible modules, indexed by a subregular Kazhdan-Lusztig left cell.
Kac, and Vasily Krylov, Subregular nilpotent orbits and explicit character formulas for modules over affine lie algebras, Pure and Applied Mathematics Quarterly 20 (2024), no
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Subregular affine cells and the level $-1$ vertex algebra of type $D$
For every l >= 5, the vacuum block of the level -1 simple affine vertex algebra of type D_l has exactly l+1 irreducible modules, indexed by a subregular Kazhdan-Lusztig left cell.