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We present the results for a search of high-energy muon neutrinos with theIceCube detector in coincidence with the Crab nebula flare reported onSeptember 2010 by various experiments. Due to the unusual flaring state of theotherwise steady source we performed a prompt analysis of the 79-stringconfiguration data to search for neutrinos that might be emitted along with theobserved gamma-rays. We performed two different and complementary dataselections of neutrino events in the time window of 10 days around the flare.One event selection is optimized for discovery of E^-2 neutrino spectrumtypical of 1st order Fermi acceleration. A similar event selection has alsobeen applied to the 40-string data to derive the time-integrated limits to theneutrino emission from the Crab. The other event selection was optimized fordiscovery of neutrino spectra with softer spectral index and TeV energycut-offs as observed for various galactic sources in gamma-rays. The 90% CLbest upper limits on the Crab flux during the 10 day flare are 4.73 x 10^-11cm-2 s-1 TeV-1 for an E^-2 neutrino spectrum and 2.50 x 10^-10 cm-2 s-1 TeV-1for a softer neutrino spectra of E-2.7, as indicated by Fermi measurementsduring the flare. IceCube has also set a time-integrated limit on the neutrinoemission of the Crab using 375.5 days of livetime of the 40-stringconfiguration data. This limit is compared to existing models of neutrinoproduction from the Crab and its impact on astrophysical parameters isdiscussed. The most optimistic predictions of some models are already rejectedby the IceCube neutrino telescope with more than 90% CL.

Neutrino analysis of the September 2010 Crab Nebula flare and time-integrated constraints on neutrino emission from the Crab using IceCube