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Permutation-twisted modules for even order cycles acting on tensor product vertex operator superalgebras. (English) Zbl 1343.17019

In the paper under review, the authors construct and classify \((12 \cdot k)\)-twisted \(V^{\otimes k}\)-modules for \(k\) even and \(V\) a vertex operator superalgebra. The results presented in the paper are important for studying permutation orbifolds of superconformal vertex operator superalgebras. In particular these results relate mirror-twisted sectors and Ramond sectors of superconformal vertex operator superalgebras.

MSC:

17B69 Vertex operators; vertex operator algebras and related structures
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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