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Neutrinos in a core-collapse supernova undergo coherent flavortransformations in their own background. We explore this phenomenon during thecooling stage of the explosion. Our three-flavor calculations revealqualitatively new effects compared to a two-flavor analysis. These effects areespecially clearly seen for the inverted mass hierarchy: we find a differentpattern of spectral "swaps" in the neutrino spectrum and a novel "mixed"spectrum for the antineutrinos. A brief discussion of the relevant physics ispresented, including the instability of the two-flavor evolution trajectory,the 3-flavor pattern of spectral "swaps," and partial nonadiabaticity of theevolution.

Self-refraction of supernova neutrinos: mixed spectra and three-flavor instabilities