A two-dimensional chiral conformal field theory can be viewed mathematically as the
representation theory of its chiral algebra, a vertex operator algebra. Vertex operator …

We give a general, direct and explicit construction of lower-bounded generalized twisted
modules satisfying a universal property for a grading-restricted vertex (super) algebra V …

We introduce and study twist vertex operators for a (lower-bounded generalized) twisted
modules for a grading-restricted vertex (super) algebra. We prove the duality property, weak …

In this paper, we prove that the categories of lower bounded twisted modules of positive
integer levels for simple vertex operator algebras associated with affine Lie algebras and …

We discuss some basic problems and conjectures in a program to construct general orbifold
conformal field theories using the representation theory of vertex operator algebras. We first …

Twisted modules over vertex algebras formalize the relations among twisted vertex
operators and have applications to conformal field theory and representation theory. A …

For a grading-restricted vertex superalgebra V and an automorphism g of V, we give a
linearly independent set of generators of the universal lower-bounded generalized g-twisted …

We apply the construction of the universal lower-bounded generalized twisted modules by
the author to construct universal lower-bounded and grading-restricted generalized twisted …

Given a weight-one element u of a vertex operator algebra V, we construct an automorphism
of the category of generalized g-twisted modules for automorphisms g of V fixing u. We apply …

We study N-graded ϕ-coordinated modules for a general quantum vertex algebra V of a
certain type in terms of an associative algebra A˜(V) introduced by Y.-Z. Huang. Among the …