On intertwining operators and finite automorphism groups of vertex operator algebras

Abstract

Let V be a simple vertex operator algebra and G a finite automorphism group. We give a construction of intertwining operators for irreducible V^G-modules which occur as submodules of irreducible V-modules by using intertwining operators for V. We also determine some fusion rules for a vertex operator algebra as an application.

26 pages

References in corpus (1)

• Z_3 symmetry and W_3 algebra in lattice vertex operator algebras

Cited by in corpus (4)

• Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
• Orbifolds and minimal modular extensions
• Vertex operator superalgebras and 16-fold way
• A generalization of intertwining operators for vertex operator algebras