标题： 精确共形变换在扭曲空间中 显示英文标题

标题： Exact Diffeomorphism in Warped Space

摘要： 在本文中，我们研究了在扭曲的额外维中精确微分同胚的表现，重点放在Randall-Sundrum模型上。 利用变分的协变形式$\delta g_{MN} = \nabla_M \xi_N + \nabla_N \xi_M$，我们推导了单位规范下度规场的非线性变换规则。 作为一种非对壳对称性，微分同胚通过连接体作用展开的相邻阶次来支配相互作用结构。 我们的分析表明，在radion稳定化之前存在一个对壳微分同胚，但被Goldberger-Wise机制破坏。 这个对壳对称性强制一个与质量相关的方程$F'- A' G =0$来消除一个自由度，同时确保五维作用量在面项之外保持不变。 因此，我们推测对壳微分同胚实际上保护radion场不获得质量。 显示英文摘要

摘要： In this paper, we study the manifestation of exact diffeomorphism in warped extra dimension, with an emphasis on the Randall-Sundrum model. Utilizing the covariant form of variation $\delta g_{MN} = \nabla_M \xi_N + \nabla_N \xi_M$, we derive the nonlinear transformation rules for the metric fields in the unitary gauge. As an off-shell symmetry, diffeomorphism governs the interaction structure by connecting the neighboring orders of bulk action expansions. Our analysis unveils that an on-shell diffeomorphism exists prior to radion stabilization, but is broken by the Goldberger-Wise mechanism. This on-shell symmetry enforces a mass-related equation $F'- A' G =0$ to eliminate one degree of freedom, while ensuring the 5D action invariant up to a surface term. Therefore, we conjecture that the on-shell diffeomorphism actually protects the radion field from acquiring mass.