Abelian duality in topological field theory

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.

27 pages

References in corpus (3)

• Generalized Global Symmetries
• Orbifold groupoids
• An $\infty$-categorical approach to $R$-line bundles, $R$-module Thom spectra, and twisted $R$-homology