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arXiv 0712.1980hep-ph
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六维通量紧化情形中的对称破缺

Symmetry Breaking in Six Dimensional Flux Compactification Scenarios

D. Hernandez, S. Rigolin, M. Salvatori

摘要:

受电弱层次问题的启发,我们考虑了具有两个额外维度的理论,其中四维标量场是全空间中规范玻色子的分量,即规范-希格斯统一框架。我们简要地解释了“通量紧化”的基本特征,即在背景(磁)通量存在下的紧化。特别是我们回顾如何手征性和对称性破缺可以在这种情况下获得。更详细地,我们发现并编目所有可能的简并零能稳定配置的情况下,平凡或非平凡的't Hooft通量,SU(N)规范理论上的环面。我们描述了每个真空和四维有效谱的连续和离散参数的剩余对称性,分别。

英文摘要:

Motivated by the electroweak hierarchy problem, we consider theories with two extra dimensions in which the four-dimensional scalar fields are components of gauge boson in full space, namely the Gauge-Higgs unification framework. We briefly explain the basics features of "flux compactification", i.e. compactification in presence of a background (magnetic) flux. In particular we recall how chirality and symmetry breaking can be obtained in this context. More in details, we find and catalogue all possible degenerate zero-energy stable configurations in the case of trivial or non-trivial 't Hooft flux, for a SU(N) gauge theory on a torus. We describe the residual symmetries of each vacua and the four-dimensional effective spectrum in terms of continuous and discrete parameters, respectively.

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