A search for an excess of muon-neutrinos from dark matter annihilations in
the Sun has been performed with the AMANDA-II neutrino telescope using data
collected in 812 days of livetime between 2001 and 2006 and 149 days of
livetime collected with the AMANDA-II and the 40-string configuration of
IceCube during 2008 and early 2009. No excess over the expected atmospheric
neutrino background has been observed. We combine these results with the
previously published IceCube limits obtained with data taken during 2007 to
obtain 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 of
the neutralino mass in the range 50 GeV-5000 GeV. We also derive a limit on the
neutralino-proton spin-dependent and spin-independent cross section. The limits
presented here improve the previous results obtained by the collaboration
between a factor of two and five, as well as extending the neutralino masses
probed down to 50 GeV. The spin-dependent cross section limits are the most
stringent so far for neutralino masses above 200 GeV, and well below direct
search results in the mass range from 50 GeV to 5 TeV.
