Abelian duality in topological field theory

DOI10.1007/S00220-022-04527-2zbMATH Open1518.81078arXiv2112.02199MaRDI QIDQ6384779

Yu Leon Liu

Publication date: 3 December 2021

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.

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Yang-Mills and other gauge theories in quantum field theory (81T13) Homotopy theory and fundamental groups in algebraic geometry (14F35)

This page was built for publication: Abelian duality in topological field theory