论文标题
nilmanifolds的仪表模型
Gauge-Higgs models from Nilmanifolds
论文作者
论文摘要
我们考虑了杨米尔斯理论在三维Nilmanifold上的压实。紧凑型在四个时空维度上生成杨麦尔理论，并耦合到特定的标量扇区。压缩几何形状产生了零模型的质量，与Nilmanifold的扭曲参数成正比。我们研究了SU（3）模型的简单示例，该模型通过标量电势的非平凡真空损坏，该标量势能产生三个质量尺度，两个处于树水平，第三个是在循环水平上。我们指出了一般扭曲的几何形状对于模型构建的相关性，尤其是对于量规Higgs型模型，因为Twist会产生对大统一的树级质量层次结构，对于Electroweak对称性中的Higgs扇区有用。
We consider the compactification of a Yang-Mills theory on a three-dimensional nilmanifold. The compactification generates a Yang-Mills theory in four space-time dimensions, coupled to a specific scalar sector. The compactification geometry gives rise to masses for the zero-modes, proportional to the twist parameter of the nilmanifold. We study the simple example of an SU (3) model broken by a non-trivial vacuum of the scalar potential which generates three mass scales, two being at tree level, and the third one at loop level. We point out the relevance of general twisted geometries for model building and in particular for gauge-Higgs type models, as the twist generates tree-level mass hierarchies useful for grand unification and for the Higgs sector in electroweak symmetry breaking.
