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Can I read C_2-cofinite W-algebras and their logarithmic representations on EtoBox?
C_2-cofinite W-algebras and their logarithmic representations by Adamovic, Drazen; Milas, Antun is a scholarly article available to read on EtoBox.
What is C_2-cofinite W-algebras and their logarithmic representations about?
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.
- Author
- Adamovic, Drazen; Milas, Antun
- Published
- 2012
- Language
- EN