$\mathcal{N}=2$超共形代数的模不变表示
Modular invariant representations of the $\mathcal{N}=2$ superconformal algebra
摘要：
本文计算了中心荷单$\mathcal{N}=2$顶点算子超代数$c_{p,p'}=3\left(1-\frac{2p'}{p}\right),$上的一类（n个或不可数个）单模的特征标的模变换公式，其中$(p,p')$是一对互质正整数，使得$p\geq2$ .当$\mathcal{N}=2$时，公式与F. Ravanini和S.- K.杨此外，我们还研究了相应的“模$S$ -矩阵”的性质，如果$p'\geq2$，它就不再是矩阵。
英文摘要：
We compute the modular transformation formula of the characters for a certain family of (finitely or uncountably many) simple modules over the simple $\mathcal{N}=2$ vertex operator superalgebra of central charge $c_{p,p'}=3\left(1-\frac{2p'}{p}\right),$ where $(p,p')$ is a pair of coprime positive integers such that $p\geq2$. When $p'=1$, the formula coincides with that of the $\mathcal{N}=2$ unitary minimal series found by F. Ravanini and S.-K. Yang. In addition, we study the properties of the corresponding "modular $S$-matrix", which is no longer a matrix if $p'\geq2$.
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。
