Phase transitions from the fifth dimension

A bstract We study the cosmological transition of 5D warped compactifications, from high-temperature black-brane phase to low-temperature Randall-Sundrum I phase. The proceeds via percolation bubbles IR-brane nucleating horizon. violent bubble dynamics can be a powerful source observable stochastic gravitational waves. While nucleation is non-perturbative in gravity, it amenable semiclassical treatment terms “bounce” configuration interpolating between two phases. demonstrate how such bounce smooth enough maintain effective field theory control, and simple ansatz for places rigorous lower-bound on rate thin-wall regime, gives plausible estimates more generally. When applied Hierarchy Problem, minimal Goldberger-Wise stabilization throat leads slow with significant supercooling. that generalization potential modifies so completes promptly. Supercooling determines dilution any (dark) matter abundances generated before transition, potentially at odds data, while prompter resolves tensions. discuss impact different possibilities strength wave signals. Via AdS/CFT duality theoretically tractable holographic description 4D Composite Higgs (de)confinement transition. Our mechanism dual to, concretely models, our earlier proposal which composite governed by separate UV IR RG fixed points. we introduce complements dilaton/radion dominance derivation presented work.