The structure of Zhu's algebras for certain \(\mathcal W\)-algebras (Q550397)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of Zhu's algebras for certain \(\mathcal W\)-algebras |
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The structure of Zhu's algebras for certain \(\mathcal W\)-algebras (English)
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8 July 2011
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In this paper, the authors describe the structure of Zhu's algebra for the triplet vertex algebra \(\mathcal{W}(p)\). They also showed that Zhu's algebra and a corresponding \(C_2\) Poisson algebra \(V/C_2(V)\) related to \(\mathcal{W}(p)\) have the same dimension. The authors also describe Zhu's algebras for the \(N=1\) triplet VOSA \(\mathcal{SW}(m)\). In addition, the authors present some results for the \(c=0\) triplet vertex algebra \(\mathcal{W}_{2,3}\).
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Zhu algebra
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\(W\)-algebra
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tripet vertex algebra
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