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arXiv 0910.4585hep-phhep-th
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简化的超共形味

Superconformal Flavor Simplified

David Poland, David Simmons-Duffin

摘要:

如果物质场与共形扇区相互作用,并且在CFT下不同的世代具有不同的反常维度,则可以对味道等级进行简单的解释。然而,在Nelson和Strassler最初的研究中,许多这种类型的超对称模型被认为是“不可计算的”,因为R-电荷没有受到超势的充分约束。我们指出,几乎所有这样的模型是可计算的使用a-最大化。利用这一点,我们构建了最简单的矢量类风味模型,并讨论了它们的可行性。对这些模型的一个重要约束来自于要求可见规范耦合在生成层次结构所需的整个共形窗口中保持微扰。然而,我们发现,有一类简单的风味模型,可以逃避这个界限。

英文摘要:

A simple explanation of the flavor hierarchies can arise if matter fields interact with a conformal sector and different generations have different anomalous dimensions under the CFT. However, in the original study by Nelson and Strassler many supersymmetric models of this type were considered to be 'incalculable' because the R-charges were not sufficiently constrained by the superpotential. We point out that nearly all such models are calculable with the use of a-maximization. Utilizing this, we construct the simplest vector-like flavor models and discuss their viability. A significant constraint on these models comes from requiring that the visible gauge couplings remain perturbative throughout the conformal window needed to generate the hierarchies. However, we find that there is a small class of simple flavor models that can evade this bound.

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