Vertex algebra approach to fusion rules for \(N=2\) superconformal minimal models (Q5942807)
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scientific article; zbMATH DE number 1643668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vertex algebra approach to fusion rules for \(N=2\) superconformal minimal models |
scientific article; zbMATH DE number 1643668 |
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Vertex algebra approach to fusion rules for \(N=2\) superconformal minimal models (English)
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21 October 2003
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vertex operator algebras
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superconformal algebra
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fusion rules
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intertwining operator
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Let \(L_{c(m)}\) be the vertex operator (super)algebra (VOA) associated to the minimal modal (vacuum module) for the \(N=2\) superconformal algebra with central charge \(c(m)=\frac{3m}{m+2}\). The irreducible \(L_{c(m)}\)-modules were classified in the previous paper of the author [Int. Math. Res. Not. 1999, 61-79 (1999; Zbl 0920.17013)].NEWLINENEWLINENEWLINEIn this paper the author studies fusion rules for these modules. Namely it is proven that the dimension of the intertwining operator space is always \(\leq 1\), and it is described when it is equal to 1. The results, as the author mentions, were also obtained by M. Wakimoto by a different method.
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