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arXiv · 1210.2718

On Limit Cycles in Supersymmetric Theories

Jean-François Fortin·Benjamín Grinstein·Christopher W. Murphy·Andreas Stergiou
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Abstract

Contrary to popular belief conformality does not require zero beta functions. This follows from the work of Jack and Osborn, and examples in non-supersymmetric theories were recently found by some of us. In this note we show that such examples are absent in unitary N=1 supersymmetric four-dimensional field theories. More specifically, we show to all orders in perturbation theory that the beta-function vector field of such theories does not admit limit cycles. A corollary of our result is that unitary N=1 supersymmetric four-dimensional theories cannot be superscale-invariant without being superconformal.

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Jean-François Fortin, Benjamín Grinstein, Christopher W. Murphy, Andreas Stergiou. 2012-12-25. On Limit Cycles in Supersymmetric Theories. https://doi.org/10.1016/j.physletb.2012.12.059

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