Federico Bonetti - SymTFTs for Continuous non-Abelian Symmetries
Автор: Anomalology
Загружено: 2024-03-06
Просмотров: 183
Tuesday, March, 5th, 2024
arXiv:2402.12347
Topological defects and operators give a far-reaching generalization of symmetries of quantum fields. An auxiliary topological field theory in one dimension higher than the QFT of interest, known as the SymTFT, provides a natural way for capturing such operators. The SymTFT approach has proven powerful to study finite symmetries, but its application to continuous symmetries is not straightforward. In this talk, I’ll discuss a proposal for SymTFTs for continuous non-Abelian symmetries. The proposal is motivated by geometric engineering and holography, but is also applicable to models without supersymmetry. It allows us to recover various known features of representation theory of the non-Abelian symmetry from a SymTFT viewpoint. Central to this approach is a duality between (flat) free Yang-Mills and non-Abelian BF theories.
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