Fusion rules of Virasoro vertex operator algebras

Lin, Xianzu

doi:10.1090/proc/12552

Fusion rules of Virasoro vertex operator algebras

Author: Xianzu Lin
Journal: Proc. Amer. Math. Soc. 143 (2015), 3765-3776
MSC (2010): Primary 17B69
DOI: https://doi.org/10.1090/proc/12552
Published electronically: May 1, 2015
MathSciNet review: 3359568
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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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