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arXiv · 1506.08795

On the reduction of 4d N=1 theories on S^2

Abhijit Gadde·Shlomo S. Razamat·Brian Willett
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Abstract

We discuss reductions of general N=1 four dimensional gauge theories on 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) gauge theory. As an application of our general observations, we discuss reductions of N=1 and N=2 dualities and argue that they imply certain two dimensional dualities.

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Abhijit Gadde, Shlomo S. Razamat, Brian Willett. 2020-04-19. On the reduction of 4d N=1 theories on S^2. https://doi.org/10.1007/jhep11(2015)163

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