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- W4300105722 abstract "We discuss our recent results on the representation theory of $mathcal{W}$--algebras relevant to Logarithmic Conformal Field Theory. First we explain some general constructions of $mathcal{W}$-algebras coming from screening operators. Then we review the results on $C_2$--cofiniteness, the structure of Zhu's algebras, and the existence of logarithmic modules for triplet vertex algebras. We propose some conjectures and open problems which put the theory of triplet vertex algebras into a broader context. New realizations of logarithmic modules for $mathcal{W}$-algebras defined via screenings are also presented." @default.
- W4300105722 created "2022-10-03" @default.
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- W4300105722 date "2012-12-30" @default.
- W4300105722 modified "2023-10-18" @default.
- W4300105722 title "C_2-cofinite W-algebras and their logarithmic representations" @default.
- W4300105722 doi "https://doi.org/10.48550/arxiv.1212.6771" @default.
- W4300105722 hasPublicationYear "2012" @default.
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