We study gauge symmetry breaking patterns of the five-dimensional $SU(5)$grand gauge-Higgs unification compactified on an orbifold $S^1/{\mathbb Z}_2$with the Hosotani mechanism in the framework of the diagonal embedding method.We find matter contents that lead to the $SU(3)\times SU(2)\times U(1)$ gaugesymmetry on the global minimum of the effective potential and also presentexamples of matter content for which each regular subgroup of $SU(5)$ isrealized as vacuum configuration. The finite temperature phase transitions forthe models with the gauge symmetry of the standard model at zero temperatureand also for supersymmetric models are studied. We show in a certain model withsupersymmetry that the vacuum of the standard model selected dynamically beforethe inflation continues to stay there up to the present.
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机译：我们研究了在对角线嵌入方法框架下，利用Hosotani机理研究了在均匀的$ S ^ 1 / {\ mathbb Z} _2 $$上压缩的五维$ SU（5）$ grand gauge-Higgs统一的尺度对称性破坏模式。我们找到了导致有效势的全局最小值的$ SU（3）\ SU（2）\ U（1）$计量对称性的物质含量，并给出了每个$ SU常规子群的物质含量示例（5）$被实现为真空配置。研究了标准模型在零温度下具有规范对称性的模型和超对称模型的有限温度相变。我们在具有超对称性的某个模型中表明，在通货膨胀继续保持到目前之前动态选择的标准模型的真空度。
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