Ultra-High Energy Cosmic Rays and Diffuse Photon Spectrum

It is argued that if extragalactic magnetic fields are smaller than 2x10^{-12} G the flux of ultra-high energy photons of (a few)x10^{-1} eV cm^{-2}s^{-1}sr^{-1} predicted in the top-down models of UHE CR implies similar flux of the diffuse photons in the energy range 10^{15}-10^{17} eV, which is close to the existing experimental limit.
Comment: Talk given at XI Rencontres de Blois. 3 pages, no figures