COMMUNICATIONS IN MATHEMATICAL PHYSICS 277(1) 237-285 2008年1月 [査読有り]
In this paper, we study the structure of a general framed vertex operator algebra (VOA). We show that the structure codes (C, D) of a framed VOA V satisfy certain duality conditions. As a consequence, we prove that every framed VOA is a simple cur...
In this article we study and obtain a classification of Ising vectors in vertex operator algebras (VOAs) associated to binary codes and root 2 times root lattices, where an Ising vector is a conformal vector with central charge 1/2 generating a si...
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 359(9) 4107-4123 2007年 [査読有り]
We study McKay's observation on the Monster simple group, which relates the 2A-involutions of the Monster simple group to the extended E-8 diagram, using the theory of vertex operator algebras (VOAs). We first consider the sublattices L of the E8 ...
INTERNATIONAL MATHEMATICS RESEARCH NOTICES (2007) 2007年 [査読有り]
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) V-1 = 0; is isomorphic to the moonshine VOA V-(sic) ...
In this article we give a new proof of the determination of the full automorphism group of the baby-monster vertex operator superalgebra based on a theory of simple current extensions. As a corollary, we also prove that the Z(2)-orbifold construct...
We investigate a general theory of the Z_2-twisted representations of vertex<br />
operator superalgebras. Certain one-to-one correspondence theorems are<br />
established. We also give an explicit realization of the Ising model SVOA and<br />
its...
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