论文标题
关于顶点操作员超级algebras的相关品种的一些评论
Some remarks on associated varieties of vertex operator superalgebras
论文作者
论文摘要
我们从JET（超级）方案的角度研究了几个顶点操作员超级甲壳虫的家族。我们提供了顶点代数的新示例，这些示例是其Zhu的泊松代数$ r_v $的“手性”。我们的示例来自Aggine $ c_ \ ell^{（1）} $ - 系列顶点代数（$ \ ell \ geq 1 $），某些$ n = 1 $ superconformentermonformentermongulal vertex代数，feigin-Stoyanovsky，feigin-stoyanovsky type uspace，feigin-stoyanovsky type uspace $ expace $ expace $ verbras $ verbras $ w_______________________________ $代数。我们还为$ n = 2 $ supercongron -grongulation tertex代数$ 1 $ $ n = 2 $ $ n = 2 $ $ n = 2 $进行了反例。
We study several families of vertex operator superalgebras from a jet (super)scheme point of view. We provide new examples of vertex algebras which are "chiralizations" of their Zhu's Poisson algebras $R_V$. Our examples come from affine $C_\ell^{(1)}$-series vertex algebras ($\ell \geq 1$), certain $N=1$ superconformal vertex algebras, Feigin-Stoyanovsky principal subspaces, Feigin-Stoyanovsky type subspaces, graph vertex algebras $W_Γ$, and extended Virasoro vertex algebra. We also give a counterexample to the chiralization property for the $N=2$ superconformal vertex algebra of central charge $1$.
