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International Mathematics Research Notices (2007) Vol. 2007 : article ID rnm003, 9 pages, doi:10.1093/imrn/rnm003 published on May 24, 2007
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Copyright © The Author 2007. Published by Oxford University Press.

A Characterization of the Moonshine Vertex Operator Algebra by Means of Virasoro Frames

Ching Hung Lam1, and Hiroshi Yamauchi2

1 Department of Mathematics, National Cheng Kung University, Tainan, Taiwan 701
2 Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, 153-8914, Japan

Correspondence: Correspondence to be sent to: Ching Hung Lam, Department of Mathematics, National Cheng Kung University, Tainan, Taiwan 701. e-mail: chlam{at}mail.ncku.edu.tw

In this article, we show that a framed vertex operator algebra (VOA) V satisfying the conditions: (i) V is holomorphic (i.e., V is the only irreducible V-module); (ii) V is of rank 24; and (iii) V1 = 0; is isomorphic to the moonshine VOA Vnatur constructed by Frenkel-Lepowsky-Meurman [12].


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