| In this thesis,we study the so-called twisted Φ-coordinated modules for nonlocal vertex algebras including weak quantum vertex algebras and we give a conceptual con-struction of nonlocal vertex algebras and their twisted Φ-coordinated modules.As illus-trating examples,first,we study certain vertex algebras and their twisted Φ-coordinated modules,associated to certain infinite dimensional Heisenberg Lie algebras.Second,we study a certain vertex superalgebra and its twisted Φ-coordinated modules,associated to a certain Clifford algebra.We also give a canonical connection between twisted modules for a general 1/TZ-graded nonlocal vertex algebra V and twisted Φ-coordinated modules for the nonlocal vertex algebra obtained from V by Zhu’s change-of-variable theorem. |
