Frame Stabilizers for Framed Vertex Operator Algebras Associated to Lattices Having 4-Frames

Frame Stabilizers for Framed Vertex Operator Algebras Associated to Lattices Having 4-frames

Abstract. In this paper, we study certain Virasoro frames for lattice vertex operator algebras and their Z2-orbifolds using linear codes over Z4. We also compute the corresponding frame stabilizer from the view point of binary codes and Z4-codes. As an application, we determine the frame stabilizers of several Virasoro frames of the vertex operator algebra VE8 and the moonshine vertex operator ...

On the structure of framed vertex operator algebras and their pointwise frame stabilizers

In this paper, we study the structure of a general framed vertex operator algebra. 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 current extension of the associated binary code VOA VC . This result would give a prospect on the classification of framed vertex operator algebras. In addition...

Some Twisted Modules for Framed Vertex Operator Algebras

Framed vertex operator algebras, codes and the moonshine module

For a simple vertex operator algebra whose Virasoro element is a sum of commutative Virasoro elements of central charge 1 2 , two codes are introduced and studied. It is proved that such vertex operator algebras are rational. For lattice vertex operator algebras and related ones, decompositions into direct sums of irreducible modules for the product of the Virasoro algebras of central charge 1 ...

Bimodules associated to vertex operator algebras

Let V be a vertex operator algebra and m,n ≥ 0. We construct an An(V )Am(V )-bimodule An,m(V ) which determines the action of V from the level m subspace to level n subspace of an admissible V -module. We show how to use An,m(V ) to construct naturally admissible V -modules from Am(V )-modules. We also determine the structure of An,m(V ) when V is rational. 2000MSC:17B69