论文标题

现场理论中较高几何形状的实例

Instances of Higher Geometry in Field Theory

论文作者

Chatzistavrakidis, Athanasios

论文摘要

几何学的概括在现场理论和量化研究中以各种形式出现。该小评论的​​重点是较高几何形状在三个选定的物理应用中的作用。在激励和描述了捆绑结构的一些基本方面和(分级分级)q-manifolds之后,我们简要讨论了它们与($α$)拓扑sigma模型($α$)的($α$)的关系,($α$分级几何形状突出显示。

Generalisations of geometry have emerged in various forms in the study of field theory and quantization. This mini-review focuses on the role of higher geometry in three selected physical applications. After motivating and describing some basic aspects of algebroid structures on bundles and (differential graded) Q-manifolds, we briefly discuss their relation to ($α$) the Batalin-Vilkovisky quantization of topological sigma models, ($β$) higher gauge theories and generalized global symmetries and ($γ$) tensor gauge theories, where the universality of their form and properties in terms of graded geometry is highlighted.

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