The Mechanism of Core-Collapse Supernova Explosions: A Status Report
  We review the status of the current quest to understand the mechanism of core-collapse supernovae, if neutrino-driven. In the process, we discuss the spherical explosion paradigm and its problems, some results from our new suite of collapse calculations performed using a recently-developed 1D implicit, multi-group, Feautrier/tangent-ray, Boltzmann solver coupled to explicit predictor/corrector hydrodynamics, the basic energetics of supernova explosions, and the promise of multi-D radiation/hydro simulations to explain why the cores of massive stars explode. 
Adam Burrows and Todd A. Thompson