Fusion rules of Virasoro vertex operator algebras
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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 $L(c_{n,nq-1},0)$.References
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Additional Information
- Xianzu Lin
- Affiliation: College of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350108, People’s Republic of China
- Email: linxianzu@126.com
- Received by editor(s): February 24, 2014
- Received by editor(s) in revised form: May 2, 2014, and May 17, 2014
- Published electronically: May 1, 2015
- Additional Notes: This work was supported by the National Natural Science Foundation for young (no.11401098).
- Communicated by: Kailash C. Misra
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 3765-3776
- MSC (2010): Primary 17B69
- DOI: https://doi.org/10.1090/proc/12552
- MathSciNet review: 3359568