arXiv 0903.40402009-03hep-phhep-th

超对称破缺、R-对称和共形动力学

Supersymmetry breaking, R-symmetry, and conformal dynamics

Yuji Omura

备注：: 96 page, 6 figures. Ph.D. Thesis; added references for section 2

摘要：

研究了具有连续整体U（1）R对称性的N=1整体和局部超对称理论.讨论了R对称超对称模型的超对称破缺条件和真空结构。特别是我们在全局超对称理论中找到了R对称性破缺和跑道真空的条件。我们引入明确的R-对称性破缺项到这样的模型中的整体和局部超对称理论。我们分类明确的R-对称性破缺项的结构，新出现的超对称驻点的R-破缺效应的后果。在此基础上，我们提出了共形动力学导致近似R对称和亚稳态超对称破缺真空的可能性。此外，我们发现，共形动力学也导致近似R-对称性的软超对称破缺理论，即使在更复杂的模型，如对偶级联。我们研究了超对称软破缺理论对偶级联中超对称破缺项和超对称耦合的RG流。我们还表明，级联将终止的规范对称性破缺，这是由所谓的B-项诱导的可能性。最后，我们找到了一些模型，它们可以达到标准模型的形式，并导致与电弱对称性破缺相对应的规范对称性破缺。

英文摘要：

We study N=1 global and local supersymmetric theories with a continuous global U(1)_R symmetry. We discuss conditions for supersymmetry (SUSY) breaking and vacuum structures of R-symmetric SUSY models. Especially we find the conditions for R-symmetry breaking and runway vacua in global supersymmetric theories. We introduce explicit R-symmetry breaking terms into such models in global and local supersymmetric theories. We classify explicit R-symmetry breaking terms by the structure of newly appeared SUSY stationary points as a consequence of the R-breaking effect. Based on the generic argument, we propose the scenario that conformal dynamics causes approximate R-symmetry and metastable SUSY breaking vacua at a low energy scale. Furthermore, we find that conformal dynamics also leads approximate R-symmetry in softly SUSY breaking theories, even in more complicated models such as the duality cascade. We investigate the RG flow of SUSY breaking terms as well as supersymmetric couplings in the duality cascade of softly broken supersymmetric theories. We also show the possibility that cascading would be terminated by the gauge symmetry breaking, which is induced by the so-called B-term. Finally, we find some models to arrive at standard-model-like models and to cause gauge symmetry breaking corresponding to electro-weak symmetry breaking.

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