A non-abelian duality for (higher) gauge theories

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.

22 pages; v2 - minor changes

References in corpus (1)

• Topological boundary conditions in abelian Chern-Simons theory

Cited by in corpus (2)

• Topological Dirac Sigma Models and the Classical Master Equation
• Super AKSZ construction, integral forms, and the 2-dimensional $\mathcal{N}=(1,1)$ sigma model