28 citations · 76 across the 14 of their papers we have counts for
14 papers
Extensions of tensor products of -orbifold models of the lattice vertex operator algebra
Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada
Let be an odd prime and let be an order automorphism of which is a lift of a -cycle in the Weyl group ${\rm Weyl}(A_{p-1})\cong {\mathf…
A remark on -orbifold constructions of the Moonshine vertex operator algebra
Toshiyuki Abe, Ching Hung Lam, Hiromichi Yamada
For , we consider a -orbifold construction of the Moonshine vertex operator algebra . We show that the vertex operator algebra obtained by…
Commutant of in the cyclic permutation orbifold of
Toshiyuki Abe, Hiromichi Yamada
We study the commutant of the vertex operator algebra in the cyclic permutation orbifold model $(\mathcal{L}_{\widehat{\mathfrak{sl}}…
Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions
Toshiyuki Abe, Yusuke Arike
We determine fusion rules (dimensions of the space of intertwining operators) among simple modules for the vertex operator algebra obtained as an even part of the symplectic fermio…
-cofiniteness of 2-cyclic permutation orbifold models
Toshiyuki Abe
In this article, we consider permutation orbifold models of -cofinite vertex operator algebras of CFT type. We show the -cofiniteness of the 2-cyclic permutation orbifold…
C_2-cofiniteness of the 2-cycle permutation orbifold models of minimal Virasoro vertex operator algebras
Toshiyuki Abe
In this article, we give a sufficient and necessary condition for the -cofiniteness of the 2-cycle permutation orbifold model for a -cofinite vertex oper…