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On categorical dynamical gauging

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BID - Quantum field theory with boundaries, impurities, and defects

Many symmetries of interest to physicists are not finite: gauge theory makes use of Lie group symmetry, which is not accessible to ordinary (or higher) categories.  Nonetheless, symmetries that arise from dynamical gauging of Lie group symmetries are well understood from a path integral perspective. We take steps towards unifying finite and dynamical gauging in the language of smooth categories.  I will start by reviewing how one uses fusion categories in gauging of finite symmetries. I will then recall the electric and magnetic symmetries that arise in Yang-Mills theory from dynamical gauging, and demonstrate how one can use categories of quasicoherent sheaves to recover these symmetries in 2d.  This is joint work in progress with Matt Yu. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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