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Limits on Kaluza-Klein dark matter annihilation in the Sun from recent IceCube results

We interpret recent IceCube results on searches for dark matter accumulated in the sun in terms of the lightest Kaluza-Klein excitation (assumed here to be the Kaluza-Klein photon, $B^1$), obtaining improved limits on the annihilation rate in the Sun, the resulting neutrino flux at the Earth and on the $B^1$-proton cross-sections, for $B^1$ masses in the range 30--3000 GeV. These results improve previous results from IceCube in its 22-string configuration by up to an order of magnitude, depending on mass, but also extend the results to $B^1$ masses as low as 30 GeV.