INTERNATIONAL MATHEMATICS RESEARCH PAPERS (3) 117-181 2005年 [査読有り]
This paper is a continuation of our paper math.QA/0403010 at which several<br />
coset subalgebras of the lattice VOA were constructed and the<br />
relationship between such algebras with the famous McKay observation on the<br /...
JOURNAL OF PURE AND APPLIED ALGEBRA 189(1-3) 315-328 2004年5月 [査読有り]
We study module categories of simple current extensions of rational C-cofinite vertex operator algebras of CFT-type and prove that they are semnisimple. We also develop a method of induced modules for the simple current extensions. (C) 2003 Elsevi...
INTERNATIONAL JOURNAL OF MATHEMATICS 15(1) 87-109 2004年2月 [査読有り]
In this article, using an idea of the physics superselection principal, we study a modularity on vertex operator algebras arising from semisimple primary vectors. We generalizes the theta functions on vertex operator algebras and prove that the in...
In this article we study a VOA with two Miyamoto involutions generating S-3. In [math.GR/ 0112031], Miyamoto showed that a VOA generated by two conformal vectors whose Miyamoto involutions generate an automorphism group isomorphic to S3 is isomorp...
We study intertwining operators among the twisted modules for rational VOAs and show a new modular invariance of the space spanned by the trace functions associated to intertwining operators. Our result generalizes the results obtained by Zhu [J. ...
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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