论文标题
顶点操作员代数的重量元素和广义扭曲模块类别的自动形态
Weight-one elements of vertex operator algebras and automorphisms of categories of generalized twisted modules
论文作者
论文摘要
给定一个顶点操作员代数$ v $的重量一元素$ u $，我们构建了通用的$ g $ twist twist twist twist twist $ g $ g $ g $ v $ v $ fix $ u $的自动形态。我们将此构造应用于$ v $是仿射顶点操作员代数，以获得这些类别的这些自动形态的明确结果。特别是，我们从与有限维的简单谎言代数和广义（未浏览）模块相关的广义扭曲模块中提供了某些广义扭曲模块的明确构造。
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.
