Abelian duality in topological field theory

Abelian duality in topological field theory

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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Veröffentlicht in:arXiv.org 2021-12
1. Verfasser: Liu, Yu Leon
Format: Artikel
Sprache:eng
Schlagworte:
Field theory
Gauge theory
Mathematics - Algebraic Topology
Mathematics - Mathematical Physics
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
Topology
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2112.02199