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The dense neutrino medium in a core-collapse supernova or a neutron-starmerger event can experience fast flavor conversions on time/distance scalesthat are much smaller than those of vacuum oscillations. It is believed thatfast neutrino flavor transformation occurs in the region where the angulardistributions of $\nu_e$ and $\bar\nu_e$ cross each other. We present the firststudy of this crossing phenomenon and the fast neutrino flavor conversions inmultidimensional (multi-D) supernova models. We examine the neutrinodistributions obtained by solving the Boltzmann transport equation for severalfixed profiles which are representative snapshots taken from separate 2D and 3Dsupernova simulations with an $11.2 M_\odot$ progenitor model. Our researchshows that the spherically asymmetric patterns of the $\nu_e$ and $\bar\nu_e$fluxes in multi-D models can assist the appearance of the crossing between the$\nu_e$ and $\bar\nu_e$ angular distributions. In the models that we havestudied, there exist unstable neutrino oscillation modes in and beyond theneutrino decoupling region which have amplitude growth rates as large as an$e$-fold per nanosecond. This finding can have important consequences for theexplosion mechanism, nucleosynthesis, and neutrino signals of core-collapsesupernovae.

On the occurrence of fast neutrino flavor conversions in multidimensional supernova models