A generalization of intertwining operators for vertex operator algebras

Abstract

We generalize the notion of an intertwining operator to N-graded weak modules over a vertex operator algebra and study their properties. We show a formula for the dimensions of these intertwining operators in terms of modules over the Zhu algebras under some conditions on N-graded weak modules.

33 pages, typos corrected

References in corpus (5)

• A logarithmic generalization of tensor product theory for modules for a vertex operator algebra
• Logarithmic intertwining operators and vertex operators
• On intertwining operators and finite automorphism groups of vertex operator algebras
• Fixed point subalgebras of lattice vertex operator algebras by an automorphism of order three
• A generalization of twisted modules over vertex algebras