论文标题
从Nilmanifolds破裂的对称对称性的新机制
A new mechanism for symmetry breaking from nilmanifolds
论文作者
论文摘要
我们提出了一种方法，可以从树级上从Nilmanifolds上的纯仪表理论（一类负面弯曲的紧凑型空间）获得标量电位，并讨论在低能量处紧凑型在残留的Minkowski空间中引起的自发对称性破坏机制。我们表明，标量电势完全由量规对称性和紧凑型歧管的几何形状确定。为了允许简单的分析计算，我们将三个额外的空间维度视为Nilmanifold的最小示例，因此考虑了七个维度的纯Yang-Mills理论。
We present a method to obtain a scalar potential at tree level from a pure gauge theory on nilmanifolds, a class of negatively-curved compact spaces, and discuss the spontaneous symmetry breaking mechanism induced in the residual Minkowski space after compactification at low energy. We show that the scalar potential is completely determined by the gauge symmetries and the geometry of the compact manifold. In order to allow for simple analytic calculations we consider three extra space dimensions as the minimal example of a nilmanifold, therefore considering a pure Yang-Mills theory in seven dimensions.
