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 modules for affine vertex (operator) algebras. We prove that these universal twisted modules for affine vertex (operator) algebras are equivalent to suitable induced modules of the corresponding twisted affine Lie algebra or quotients of such induced modules by explicitly given submodules.

中文翻译：

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仿射顶点（算子）代数的下界和分级限制扭曲模块

我们应用作者构建的通用下界广义扭曲模块来构建仿射顶点（算子）代数的通用下界和分级限制广义扭曲模块。我们证明了这些用于仿射顶点（算子）代数的通用扭曲模块等效于相应扭曲仿射李代数的合适诱导模块或通过明确给定子模块的此类诱导模块的商。