  Branons are new degrees of freedom that appear in flexible brane-world models
corresponding to brane fluctuations. These new fields can behave as standard
weakly interacting massive particles (WIMPs) with a significant associated
thermal relic density. We analyze the present constraints from their
spontaneous annihilations into photons for EGRET, Fermi-LAT and MAGIC, and the
prospects for detection in future Cherenkov telescopes. In particular, we focus
on possible signals coming from the Galactic Center and different dwarf
spheroidals, such as Draco, Sagittarius, Canis Major and SEGUE 1. We conclude
that for those targets, present observations are below the sensitivity limits
for branon detection by assuming standard dark matter distributions and no
additional boost factors. However, future experiments such as CTA could be able
to detect gamma-ray photons coming from the annihilation of branons with masses
higher than 150 GeV.
