Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint

Preprint number: CP3-Origins-2017-51 DNRF90
Authors: Thomas A. Ryttov (CP3-Origins) and Robert Shrock (YITP, Stony Brook University)
External link: arXiv.org

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We study duality in $mathcal{N}=1$ supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral superfields, and the quantities $a$, $a/c$, and $b$ at superconformal fixed points of the renormalization group emerge in scheme-independent series expansions in the electric and magnetic theories. We further demonstrate that truncations of these series expansions to modest order yield very accurate approximations to these quantities.