Logarithmic intertwining operators and associative algebras

Jinwei Yang; Yi-Zhi Huang

Logarithmic intertwining operators and associative algebras

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arxiv 1104.4679 v3 pith:JV77OUAC submitted 2011-04-25 math.QA hep-thmath.RT

Yi-Zhi Huang , Jinwei Yang This is my paper · ORCID

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keywords algebraintertwininglogarithmicmodulesoperatorsspacesuitablealgebras

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We establish an isomorphism between the space of logarithmic intertwining operators among suitable generalized modules for a vertex operator algebra and the space of homomorphisms between suitable modules for a generalization of Zhu's algebra given by Dong-Li-Mason.

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Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras
math.QA 2024-11 conditional novelty 7.0 of 10

Rigidity of weight module categories for admissible affine sl(2) and N=2 superconformal minimal models is proved, together with the conjectured fusion product decompositions, including non-semisimple summands.

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