Compactifying type A N−1 6d N=(2,0)supersymmetric CFT on a product manifold M 4 ×Σ 2 =M 3 ×S˜ 1 ×S 1 ×I either over S 1 or over S˜ 1 leads to maximally supersymmetric 5d gauge theories on M 4 ×I or on M 3 ×Σ 2 , respectively. Choosing the radii of S 1 and S˜ 1 inversely proportional to each other, these 5d gauge theories are dual to one another since their coupling constants e 2 and e˜ 2 are proportional to those radii respectively. We consider their non-Abelian but non-supersymmetric extensions, i.e. SU(N)Yang–Mills theories on M 4 ×I and on M 3 ×Σ 2 , where M 4 ⊃M 3 =R t ×T p 2 with time t and a punctured 2-torus, and I⊂Σ 2 is an interval. In the first case, shrinking I to a point reduces to Yang–Mills theory or to the Skyrme model on M 4 , depending on the method chosen for the low-energy reduction. In the second case, scaling down the metric on M 3 and employing the adiabatic method, we derive in the infrared limit a non-linear SU(N)sigma model with a baby-Skyrme-type term on Σ 2 , which can be reduced further to A N−1 Toda theory. © 2019 The Authors