arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.04522math-phmath.MPmath.QA

Some remarks on associated varieties of vertex operator superalgebras

Hao Li

英文摘要:

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 $1$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑