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Modular invariant representations over the $\mathcal{N}=2$ superconformal algebra. (arXiv:1706.04882v2 [math.QA] UPDATED)

来源于:arXiv
We construct modular invariant families 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 $p'=1$, these modules coincide with the $\mathcal{N}=2$ unitary minimal series. In addition, we calculate the corresponding "modular $S$-matrix" which is no longer a matrix if $p'\geq2$. 查看全文>>