On Limit Cycles in Supersymmetric Theories

Understand

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.