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• W3046821890 abstract "Let $L_{l}=L(mathfrak{sl}_{2l+1},-l-frac{1}{2})$ be the simple vertex operator algebra based on the affine Lie algebra $widehat{mathfrak{sl}}_{2l+1}$ at boundary admissible level $-l-frac{1}{2}$. We consider a lift $nu$ of the Dynkin diagram involution of $A_{2l}=mathfrak{sl}_{2l+1}$ to an involution of $L_{l}$. The $nu$-twisted $L_l$-modules are $A_{2l}^{(2)}$-modules of level $-l-frac{1}{2}$ with an anti-homogeneous realization. We classify simple $nu$-twisted highest-weight (weak) $L_l$-modules using twisted Zhu algebras and singular vectors for $widehat{mathfrak{sl}}_{2l+1}$ at level $-l-frac{1}{2}$ obtained by Perse. We find that there are finitely many such modules up to isomorphism, and the $nu$-twisted (weak) $L_l$-modules that are in category $mathscr{O}$ for $A_{2l}^{(2)}$ are semi-simple." @default.
• W3046821890 created "2020-08-07" @default.
• W3046821890 creator A5078321658 @default.
• W3046821890 date "2020-07-31" @default.
• W3046821890 modified "2023-09-27" @default.
• W3046821890 title "$A_{2l}^{(2)}$ at level $-l-frac{1}{2}$" @default.
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• W3046821890 hasPublicationYear "2020" @default.
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