We give an intuitive proof of a new non-renormalization theorem in supersymmetric field theories. It applies both perturbatively and non-perturbatively. The superpotential is not renormalized in perturbation theory but receives non-perturbative corrections. However, these non-perturbative corrections are not generic functions of the fields consistent with the symmetries. Certain invariant terms are not generated. This violation of naturalness has applications to dynamical supersymmetry breaking.
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Univ Tokyo, UTIAS, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
Univ Tokyo, Grad Sch Sci, Dept Phys, Tokyo 1130033, JapanUniv Tokyo, UTIAS, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
Cao, Weiguang
Herzog, Franz
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Univ Edinburgh, Higgs Ctr Theoret Phys, Sch Phys & Astron, Edinburgh EH9 3FD, Midlothian, ScotlandUniv Tokyo, UTIAS, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
Herzog, Franz
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Melia, Tom
Nepveu, Jasper Roosmale
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Humboldt Univ, Inst Phys, D-12489 Berlin, GermanyUniv Tokyo, UTIAS, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan
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Scuola Int Super Studi Avanzati SISSA, Math Area, Via Bonomea 265, I-34136 Trieste, ItalyUniv Roma Tre, Dept Math & Phys, Lgo SL Murialdo 1, I-00146 Rome, Italy