Single extra dimension from κ-Poincaré and gauge invariance

A bstract We show that κ -Poincaré invariant gauge theories on -Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The invariance requirement of the action fixes dimension to d = 5 and selects unique twisted differential calculus which construction can achieved. characterize a BRST symmetry related 5-d noncommutative though definition nilpotent operation, is used construct gauge-fixed action. also consider standard scenarios assuming (compactification of) flat extra dimension, for deformation parameter viewed as bulk Planck mass. study physical properties resulting 4-d effective theories. Recent data from collider experiments require ≳ $$ \mathcal{O} O (10 13 ) GeV. use test in-vacuo dispersion relations Gamma Ray Burst photons increases this lower bound by 4 orders magnitude. robustness discussed in light possible new features causal structures.