We summarize the results of core collapse supernova theory from one-, two-, and three-dimensional models and provide a snapshot of the field at this time. We also present results from the Oak Ridge group in this context. Studies in both one and two spatial dimensions define the necessary} physics that must be included in core collapse supernova models: a general relativistic treatment of gravity (at least an approximate one), spectral neutrino transport, including relativistic effects such as gravitational redshift, and a complete set of neutrino weak interactions that includes state-of-the-art electron capture on nuclei and energy-exchanging scattering on electrons and nucleons. Whether or not the necessarily approximate treatment of this physics in current models that include it is sufficient remains to be determined in the context of future models that remove the approximations. We summarize the results of the Oak Ridge groups two-dimensional supernova models. In particular, we demonstrate that robust neutrino-driven explosions can be obtained. We also demonstrate that our predictions of the explosion energies and remnant neutron star masses are in agreement with observations, although a much larger number of models must be developed before more confident conclusions can be made. We provide preliminary results from our ongoing three dimensional model with the same physics. Finally, we speculate on future outcomes and directions.
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