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arXiv · 2207.12822

Renormalization of supersymmetric chiral theories in rational spacetime dimensions

J. A. Gracey
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Abstract

We renormalize models with scalar chiral superfields with an odd superpotential to several orders in perturbation theory. These extensions of the cubic Wess-Zumino model are renormalizable in spacetime dimensions which are rational. When endowed with an $O(N)$ symmetry it is shown that they share the same property as their non-supersymmetric counterparts in that at a particular fixed point there is an emergent $OSp(1|n-1)$ symmetry, where $n$ is the power of the superpotential. This is shown at a loop order beyond that for which it was established in the parallel non-supersymmetric theory.

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J. A. Gracey. 2022-07-26. Renormalization of supersymmetric chiral theories in rational spacetime dimensions. https://doi.org/10.1140/epjc%2Fs10052-022-10972-z

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