Constraints on an Asymptotic Safety Scenario for the Wess-Zumino Model

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Using the nonrenormalization theorem and Pohlmeyer's theorem, it is proven that there cannot be an asymptotic safety scenario for the Wess-Zumino model unless there exists a non-trivial fixed point with (i) a negative anomalous dimension (ii) a relevant direction belonging to the Kaehler potential.
2 pages; v2: published version - minor changes

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