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arXiv 0708.3148hep-thhep-ph
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整体和局部超对称理论中的R-对称性、超对称破缺和亚稳真空

R-symmetry, supersymmetry breaking and metastable vacua in global and local supersymmetric theories

Hiroyuki Abe, Tatsuo Kobayashi, Yuji Omura

摘要:

我们研究了N=1的具有连续整体$U(1)_R$对称性的整体和局部超对称理论作为动力学超对称性破缺的模型。我们引入明确的R-对称性破缺项到这样的模型,特别是广义O 'Raifeartaigh模型。这种显式的R对称破缺项可以导致超对称性保持最小值。我们根据超对称驻点的结构对R-对称破缺项进行了分类,R-破缺效应可以使超对称破缺真空亚稳。我们证明了R-破缺项基本上分为两类。其中一个不产生超对称解,或者当我们调整参数使原来的超对称破缺最小值变成闵可夫斯基真空时,在超引力的情况下产生消失的超对称解。我们还表明,一般的参数纳尔逊和Seiberg的动态超对称性打破仍然保持与局部超对称性,除了一定的非平凡的情况下,并提出具体的例子的例外。

英文摘要:

We study N=1 global and local supersymmetric theories with a continuous global $U(1)_R$ symmetry as models of dynamical supersymmetry (SUSY) breaking. We introduce explicit R-symmetry breaking terms into such models, in particular a generalized O'Raifeartaigh model. Such explicit R-symmetry breaking terms can lead to a SUSY preserving minimum. We classify explicit R-symmetry breaking terms by the structure of newly appeared SUSY stationary points as a consequence of the R-breaking effect, which could make the SUSY breaking vacuum metastable. We show that the R-breaking terms are basically divided into two categories. One of them does not generate a SUSY solution, or yields SUSY solutions that disappear in the case of supergravity when we tune a parameter so that the original SUSY breaking minimum becomes a Minkowski vacuum. We also show that the general argument by Nelson and Seiberg for a dynamical SUSY breaking still holds with a local SUSY except for a certain nontrivial case, and present concrete examples of the exception.

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