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Abelian duality in topological field theory
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abstract
We prove a topological version of abelian duality where the gauge groups are finite abelian. The theories are finite homotopy TFTs, topological analogues of the $p$-form $U(1)$ gauge theories. Using Brown-Comenetz duality, we extend the duality to finite homotopy TFTs of $\pi$-finite spectra.
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Simons Lectures on Categorical Symmetries
An expository collection of lecture notes explaining how generalized symmetries in quantum field theory are described by topological operators, higher categories, and symmetry TFTs, aimed at newcomers.
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