Notes on sphere-based universal extra dimensions

Abstract

We review the six dimensional universal extra dimension models compactified on the sphere $S^2$, the orbifold $S^2/Z_2$, and the projective sphere, which are based on the spontaneous compactification mechanism on the sphere. In particular, we spell out the application of the Newman-Penrose eth-formalism on these models with some technical details on the derivation of the Kaluza-Klein modes and their interactions, and revisit the problem in the existence of the zero mode of $U(1{)}_X$ additional gauge boson required for the spontaneous compactification. We also explain the theoretical background on the vacuum stability argument for the upper bound on the ultraviolet cutoff scale.

35 pages, 2 figures, 1 table

References in corpus (9)

• Non-minimal universal extra dimensions
• Vacuum Stability Constraints and LHC Searches for a Model with a Universal Extra Dimension
• Running of Neutrino Parameters and the Higgs Self-Coupling in a Six-Dimensional UED Model
• Universal extra dimension: Violation of Kaluza-Klein parity
• Kaluza-Klein Dark Matter And Neutrinos From Annihilation In The Sun
• Weak Gravity Conjecture with Large Extra Dimensions
• Higgs Dark Matter in UEDs: A Good WIMP with Bad Detection Prospects
• Improved vacuum stability in a five dimensional model
• Dilepton + jet signature of Split-UED at the LHC