Exact Diffeomorphism in Warped Space
Abstract
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 δ gMN = ∇M N + ∇N 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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.