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A non-abelian duality for (higher) gauge theories

High Energy Physics - Theory 2026-04-01 v2 Mathematical Physics math.MP

Abstract

We consider a TFT on the product of a manifold with an interval, together with a topological and a non-topological boundary condition imposed at the two respective ends. The resulting (in general higher gauge) field theory is non-topological, with different choices of the topological conditions leading to field theories dual to each other. In particular, we recover the electric-magnetic duality, the Poisson-Lie T-duality, and we obtain new higher analogues thereof.

Keywords

Cite

@article{arxiv.1909.06151,
  title  = {A non-abelian duality for (higher) gauge theories},
  author = {Ján Pulmann and Pavol Ševera and Fridrich Valach},
  journal= {arXiv preprint arXiv:1909.06151},
  year   = {2026}
}

Comments

22 pages; v2 - minor changes

R2 v1 2026-06-23T11:14:25.892Z