Fusion rules of Virasoro vertex operator algebras

Lin, Xianzu

doi:10.1090/proc/12552

Fusion rules of Virasoro vertex operator algebras
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by Xianzu Lin PDF

Proc. Amer. Math. Soc. 143 (2015), 3765-3776 Request permission

Abstract:

In this paper we prove the fusion rules of Virasoro vertex operator algebras $L(c_{1,q},0)$, for $q\geq 1$. Roughly speaking, we consider $L(c_{1,q},0)$ as the limit of $L(c_{n,nq-1},0)$, for $n\rightarrow \infty$, and the fusion rules of $L(c_{1,q},0)$ follow as the limits of the fusion rules of $L(c_{n,nq-1},0)$.

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