论文标题
戈德伯格模型中的超对称性和总和规则
Supersymmetry and Sum Rules in the Goldberger-Wise Model
论文作者
论文摘要
在这项工作中，我们证明了五维Goldberger（GW）模型的混合引力和标量扇区，其中扭曲的额外尺寸的大小是动态确定的，具有“隐藏的”二$ n = 2 $ supersypersmmetrictric结构。这种对称结构是对未稳定的Randall-Sundrum模型中发现的对称结构的概括，是基础引力理论的自发破裂的五维差异不变性的结果。超对称性将理论的大量自旋-2 kaluza-klein状态“食用”的旋转1和自旋0模式的性质与旋转2模式的模式函数。由于对称性将大量自旋-2状态的耦合和质量与GW模型的物理自旋塔状态的耦合和质量联系起来，因此它们使我们能够在分析上证明总和规则关系确保了大量SPIN-2状态的树级散射幅度不会比$ {\ cal o}（s）$更快地生长。此处给出的分析还解释了GW模型中SPIN-0模式方程，边界条件和标准化的非常规形式。
In this work we demonstrate that the mixed gravitational and scalar sectors of the five-dimensional Goldberger-Wise (GW) model, in which the size of a warped extra dimension is dynamically determined, has a "hidden" dual $N=2$ supersymmetric structure. This symmetry structure, a generalization of one found in the unstabilized Randall-Sundrum model, is a result of the spontaneously broken five-dimensional diffeomorphism invariance of the underlying gravitational theory. The supersymmetries relate the properties of the spin-1 and spin-0 modes "eaten" by the massive spin-2 Kaluza-Klein states of the theory to the mode functions of the spin-2 modes. Because the symmetries relate the couplings and masses of the massive spin-2 states to those of the tower of physical spin-0 states of the GW model, they enable us to analytically prove the sum rule relations which ensure the tree-level scattering amplitudes of the massive spin-2 states will grow no faster than ${\cal O}(s)$. The analysis given here also explains the unconventional forms of the spin-0 mode equation, boundary condition(s), and normalization found in the GW model.
