A characterization of the moonshine vertex operator algebra by means of Virasoro frames
A characterization of the moonshine vertex operator algebra by means of Virasoro frames
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DOI：
10.1093/imrn/rnm003
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发表时间：
2006-09
影响因子：
1
通讯作者：
C. Lam;H. Yamauchi
中科院分区：
文献类型：
--
作者：
C. Lam;H. Yamauchi
本文证明了满足以下条件的框架顶点算子代数V：（1）V是全纯的（即V是唯一不可约的V -模）;（2）V的秩为24;（3）V1 = 0; V同构于由Frenkel-Lepowsky-Meurman [12]构造的Moonshine顶点算子代数V。
In this article, we show that a framed vertex operator algebra V satisfying the conditions: (1) V is holomorphic (i.e, V is the only irreducible V -module); (2) V is of rank 24; and (3) V1 = 0; is isomorphic to the moonshine vertex operator algebra V \ constructed by Frenkel-Lepowsky-Meurman [12].