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A mini-course on Generalized Symmetries and a relation to Cobordisms and K-theory

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arxiv 2404.03599 v1 pith:37QOO3IY submitted 2024-04-04 hep-th

Oscar Loaiza-Brito , Víctor M. López-Ramos This is my paper · ORCID
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keywords generalizedsymmetriestheorycobordismsfieldk-theorymini-coursequantum
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This mini-course, conducted at the XI School on Geometric, Algebraic, and Topological Methods in Quantum Field Theory held in Villa de Leyva, Colombia, provides an overview of the interconnection between generalized symmetries and cohomology. It is designed for advanced undergraduate students with a background in physics or mathematics. Additionally, we describe a method for connecting generalized symmetries with cobordisms and K-theory within the framework of string theory. We assume basic knowledge in quantum field theory and differential forms.

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Cited by 1 Pith paper

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  1. SymTFTs for $U(1)$ symmetries from descent

    hep-th 2024-11 conditional novelty 6.0 of 10

    Symmetry descent is extended from discrete to continuous U(1) higher-form symmetries, yielding SymTFTs that match the Antinucci-Benini and Brennan-Sun constructions.

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