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On December 27th 2004, a giant gamma flare from the Soft Gamma-ray Repeater1806-20 saturated many satellite gamma-ray detectors. This event was by morethan two orders of magnitude the brightest cosmic transient ever observed. Ifthe gamma emission extends up to TeV energies with a hard power law energyspectrum, photo-produced muons could be observed in surface and undergroundarrays. Moreover, high-energy neutrinos could have been produced during the SGRgiant flare if there were substantial baryonic outflow from the magnetar. Thesehigh-energy neutrinos would have also produced muons in an underground array.AMANDA-II was used to search for downgoing muons indicative of high-energygammas and/or neutrinos. The data revealed no significant signal. The upperlimit on the gamma flux at 90% CL is dN/dE < 0.05 (0.5) TeV^-1 m^-2 s^-1 forgamma=-1.47 (-2). Similarly, we set limits on the normalization constant of thehigh-energy neutrino emission of 0.4 (6.1) TeV^-1 m^-2 s^-1 for gamma=-1.47(-2).Comment: 14 pages, 3 figure

Limits on the High-Energy Gamma and Neutrino Fluxes from the SGR 1806-20 Giant Flare of 27 December 2004 with the AMANDA-II Detector