G-equivariant φ-coordinated quasi modules for quantum vertex algebras
نویسنده
چکیده
This is a paper in a series to study quantum vertex algebras and their relations with various quantum algebras. In this paper, we introduce a notion of T-type quantum vertex algebra and a notion ofG-equivariant φ-coordinated quasi module for a T -type quantum vertex algebra with an automorphism group G. We refine and extend several previous results and we obtain a commutator formula for G-equivariant φ-coordinated quasi modules. As an illustrating example, we study a special case of the deformed Virasoro algebra Virp,q with q = −1, to which we associate a Clifford vertex superalgebra and its G-equivariant φ-coordinated quasi modules.
منابع مشابه
Quantum vertex algebras and their φ-coordinated quasi modules
We introduce a notion of φ-coordinated (quasi) module for a nonlocal vertex algebra and we establish a conceptual construction of nonlocal vertex algebras and their φ-coordinated (quasi) modules. As an application, we associate quantum affine algebras with weak quantum vertex algebras in the sense of [Li3], and we also associate a certain quantum βγ-system with quantum vertex algebras and φ-coo...
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