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arXiv · 2211.08097

Instances of Higher Geometry in Field Theory

Athanasios Chatzistavrakidis
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Abstract

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 ($\alpha$) the Batalin-Vilkovisky quantization of topological sigma models, ($\beta$) higher gauge theories and generalized global symmetries and ($\gamma$) tensor gauge theories, where the universality of their form and properties in terms of graded geometry is highlighted.

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Athanasios Chatzistavrakidis. 2022-11-15. Instances of Higher Geometry in Field Theory. https://doi.org/10.1140/epjs/s11734-023-00839-z

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