4.7 Article

On limit cycles in supersymmetric theories

期刊

PHYSICS LETTERS B
卷 719, 期 1-3, 页码 170-173

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ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2012.12.059

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  1. U.S. Department of Energy [DOE-FG03-97ER40546]
  2. ERC [228169]
  3. European Research Council (ERC) [228169] Funding Source: European Research Council (ERC)

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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 Letter 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. Published by Elsevier B.V.

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