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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 inboth one and two spatial dimensions define the necessary} physics that must beincluded in core collapse supernova models: a general relativistic treatment ofgravity (at least an approximate one), spectral neutrino transport, includingrelativistic effects such as gravitational redshift, and a complete set ofneutrino weak interactions that includes state-of-the-art electron capture onnuclei and energy-exchanging scattering on electrons and nucleons. Whether ornot the necessarily approximate treatment of this physics in current modelsthat include it is sufficient remains to be determined in the context of futuremodels that remove the approximations. We summarize the results of the OakRidge group's two-dimensional supernova models. In particular, we demonstratethat robust neutrino-driven explosions can be obtained. We also demonstratethat our predictions of the explosion energies and remnant neutron star massesare in agreement with observations, although a much larger number of modelsmust be developed before more confident conclusions can be made. We providepreliminary results from our ongoing three dimensional model with the samephysics. Finally, we speculate on future outcomes and directions.

Two- and Three-Dimensional Multi-Physics Simulations of Core Collapse  Supernovae: A Brief Status Report and Summary of Results from the "Oak Ridge"  Group