φ-Coordinated Quasi-Modules for Quantum Vertex Algebras

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Abstract

We develop a theory of φ-coordinated (quasi-) modules for a general nonlocal vertex algebra where φ is what we call an associate of the one-dimensional additive formal group. By specializing φ to a particular associate, we obtain a new construction of weak quantum vertex algebras in the sense of Li (Selecta Mathematica (New Series) 11:349-397, 2005). As an application, we associate weak quantum vertex algebras to quantum affine algebras, and we also associate quantum vertex algebras and φ-coordinated modules to a certain quantum βγ-system explicitly.

Original languageEnglish (US)
Pages (from-to)703-741
Number of pages39
JournalCommunications In Mathematical Physics
Volume308
Issue number3
DOIs
StatePublished - Dec 1 2011

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All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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