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Abelian duality in topological field theory

Mathematical Physics 2022-11-30 v1 High Energy Physics - Theory Algebraic Topology math.MP

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 pp-form U(1)U(1) gauge theories. Using Brown-Comenetz duality, we extend the duality to finite homotopy TFTs of π\pi-finite spectra.

Keywords

Cite

@article{arxiv.2112.02199,
  title  = {Abelian duality in topological field theory},
  author = {Yu Leon Liu},
  journal= {arXiv preprint arXiv:2112.02199},
  year   = {2022}
}

Comments

27 pages

R2 v1 2026-06-24T08:03:53.249Z