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arXiv 1502.01829hep-phhep-th
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对称的对称性与几何CP破坏

Symmetries of symmetries and geometrical CP violation

Maximilian Fallbacher, Andreas Trautner

摘要:

我们调查的变换不是对称的理论,但仍然保持不变的所有对称元素和陈述。从$Δ(27)$对称性的三希格斯偶极子模型的例子推广,我们表明,这种转换的可能性信号的物理退化的参数空间的理论。我们发现,驻点只出现在多重,这是代表这些所谓的等价变换的组。因此,不动点是一组齐次线性方程的解之一。这是有关的最小化的潜力一般,并揭示了新的光的起源可计算的阶段和几何CP破坏。

英文摘要:

We investigate transformations which are not symmetries of a theory but nevertheless leave invariant the set of all symmetry elements and representations. Generalizing from the example of a three Higgs doublet model with $Δ(27)$ symmetry, we show that the possibility of such transformations signals physical degeneracies in the parameter space of a theory. We show that stationary points only appear in multiplets which are representations of the group of these so-called equivalence transformations. As a consequence, the stationary points are amongst the solutions of a set of homogeneous linear equations. This is relevant to the minimization of potentials in general and sheds new light on the origin of calculable phases and geometrical CP violation.

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