Supersymmetry and sum rules in the Goldberger-Wise model

Supersymmetry and sum rules in the Goldberger-Wise model
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Goldberger-Wise 模型中的超对称性和求和规则

DOI:
10.1103/physrevd.106.035026
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发表时间:
2022
期刊:
影响因子:
5
通讯作者:
Wang, Xing
Wang, Xing
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Chivukula, R. Sekhar;Simmons, Elizabeth H.;Wang, Xing

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在这项工作中,我们证明了五维Goldberger-Wise (GW)模型的混合引力和标量扇区具有“隐藏”的双超对称结构,其中翘曲额外维度的大小是动态确定的。这种对称结构,是在不稳定的Randall-Sundrum模型中发现的对称结构的推广,是基础引力理论的自发破缺的五维微分同构不变性的结果。超对称性将自旋-1和自旋-0模式的性质与自旋-2模式的模式函数联系起来,这些模式被大量自旋-2的Kaluza-Klein状态“吃掉”。由于这种对称性将大质量自旋-2态的耦合和质量与GW模型中物理自旋-0态塔的耦合和质量联系起来,使我们能够解析地证明保证大质量自旋-2态的树能级散射振幅增长不快于。这里给出的分析也解释了在GW模型中发现的自旋-0模式方程的非常规形式、边界条件和归一化。
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” dualsupersymmetric 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. 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.
DOI: --
发表时间: 2006
期刊: --
影响因子: --
作者:
Iroon Polytechniou-
通讯作者: Iroon Polytechniou-