A bstract We discuss reductions of general N = 1 $$ mathcal{N}=1 $$ four dimensional gauge theories on S 2 $$ {mathbb{S}}^2 $$ . The effective two dimensional theory one obtains depends on the details of the coupling of the theory to background fields, which can be translated to a choice of R-symmetry. We argue that, for special choices of R-symmetry, the resulting two dimensional theory has a natural interpretation as an N = 0 2 $$ mathcal{N}=left(0,2ight) $$ gauge theory. As an application of our general observations, we discuss reductions of N = 1 $$ mathcal{N}=1 $$ and N = 2 $$ mathcal{N}=2 $$ dualities and argue that they imply certain two dimensional dualities.
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