In this paper, we study (G,χϕ)-equivariant ϕ-coordinated quasi modules for nonlocal vertex algebras. Among the main results, we establish several conceptual results, including a generalized commutator formula and a general construction of weak quantum vertex algebras and their (G,χϕ)-equivariant ϕ-coordinated quasi modules. As an application, we also construct (equivariant) ϕ-coordinated quasi modules for lattice vertex algebras by using Lepowsky's work on twisted vertex operators.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Generalized commutator formula
- Lattice vertex operator algebra
- Nonlocal vertex algebra
- Vertex algebra
- ϕ-coordinated quasi module