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A search for an excess of muon-neutrinos from dark matter annihilations inthe Sun has been performed with the AMANDA-II neutrino telescope using datacollected in 812 days of livetime between 2001 and 2006 and 149 days oflivetime collected with the AMANDA-II and the 40-string configuration ofIceCube during 2008 and early 2009. No excess over the expected atmosphericneutrino background has been observed. We combine these results with thepreviously published IceCube limits obtained with data taken during 2007 toobtain a total livetime of 1065 days. We provide an upper limit at 90%confidence level on the annihilation rate of captured neutralinos in the Sun,as well as the corresponding muon flux limit at the Earth, both as functions ofthe neutralino mass in the range 50 GeV-5000 GeV. We also derive a limit on theneutralino-proton spin-dependent and spin-independent cross section. The limitspresented here improve the previous results obtained by the collaborationbetween a factor of two and five, as well as extending the neutralino massesprobed down to 50 GeV. The spin-dependent cross section limits are the moststringent so far for neutralino masses above 200 GeV, and well below directsearch results in the mass range from 50 GeV to 5 TeV.

Multi-year search for dark matter annihilations in the Sun with the AMANDA-II and IceCube detectors