
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 this construction to the case that $V$ is an affine vertex operator algebra to obtain explicit results on these automorphisms of categories. In particular, we give explicit constructions of certain generalized twisted modules from generalized twisted modules associated to diagram automorphisms of finite-dimensional simple Lie algebras and generalized (untwisted) modules.
32 pages
High Energy Physics - Theory, weight-one elements, FOS: Physical sciences, affine vertex operator algebras, 17B69, 17 B67, 81T40, generalized twisted modules, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), vertex operator algebras, Representation Theory (math.RT), Vertex operators; vertex operator algebras and related structures, Mathematics - Representation Theory
High Energy Physics - Theory, weight-one elements, FOS: Physical sciences, affine vertex operator algebras, 17B69, 17 B67, 81T40, generalized twisted modules, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), vertex operator algebras, Representation Theory (math.RT), Vertex operators; vertex operator algebras and related structures, Mathematics - Representation Theory
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