We explore the capability of the IceCube/DeepCore array to discover signal neutrinos resulting from the annihilations of supersymmetric weakly interacting massive particles that may be captured in the solar core. In this analysis, we use a previously generated set of ～70k model points in the 19-dimensional parameter space of the phenomenological minimal supersymmetric standard model (pMSSM) which satisfy existing experimental and theoretical constraints. Our calculations employ a realistic estimate of the IceCube/DeepCore effective area that has been modeled by the IceCube collaboration. We find that a large fraction of the pMSSM models are shown to have significant signal rates in the anticipated IceCube/DeepCore 1825 d data set, including some prospects for an early discovery. Many models where the lightest supersymmetric particle only constitutes a small fraction of the total dark matter relic density are found to have observable rates. We investigate in detail the dependence of the signal neutrino fluxes on the lightest-supersymmetric-particle mass, weak eigenstate composition, annihilation products and thermal relic density, as well as on the spin-independent and spin-dependent scattering cross sections. Lastly, we compare the model coverage of IceCube/DeepCore to that obtainable in near-future direct-detection experiments and to pMSSM searches at the 7 TeV LHC.
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