8 citations · 8 across the 3 of their papers we have counts for
6 papers · 1 filter
Ising vectors and automorphism groups of commutant subalgebras related to root systems
Ching Hung Lam, Shinya Sakuma, Hiroshi Yamauchi
In this article we study and obtain a classification of Ising vectors in vertex operator algebras associated to binary codes and times root lattices, where an Ising vect…
McKay's observation and vertex operator algebras generated by two conformal vectors of central charge 1/2
Ching Hung Lam, Hiromichi Yamada, Hiroshi Yamauchi
This paper is a continuation of our paper math.QA/0403010 at which several coset subalgebras of the lattice VOA were constructed and the relationship between such…
2A-orbifold construction and the baby-monster vertex operator superalgebra
Hiroshi Yamauchi
In this article we prove that the full automorphism group of the baby-monster vertex operator superalgebra constructed by Hoehn is isomorphic to 2xB, where B is the baby-monster sp…
Module categories of simple current extensions of vertex operator algebras
Hiroshi Yamauchi
In this article, we study module categries of simple current extensions of vertex operator algebras. Under certain assumptions, we show that every module for a rational vertex oper…
Modularity on vertex operator algebras arising from semisimple primary vectors
Hiroshi Yamauchi
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 th…
Vertex operator algebra with two Miyamoto involutions generating
Shinya Sakuma, Hiroshi Yamauchi
In this article we study a VOA with two Miyamoto involutions generating . In \cite{M3}, Miyamoto showed that a VOA generated by two conformal vectors whose Miyamoto involution…