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Subregular affine cells and the level $-1$ vertex algebra of type $D$

Jin, Sihai
arXiv (All) · Papers
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quantum-algebrarepresentation-theory
We prove the simple-object prediction of Shan--Yan--Zhao and a basis-preserving dual-cell realization for the distinguished vacuum block of the simple affine vertex algebras $L_{-1}(D_\ell)$, $\ell\ge5$. The block has exactly $\ell+1$ simple objects, indexed by the subregular affine left cell contai
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