Bose-fermi symmetries and SUSY in nuclei

Most of the comparison with theory has compared energy levels and we have seen many beautiful examples of one-to-one level correspondences, sometimes supported with a few B(E2) values. However, what we really need to check, the author thinks, is the structural correspondence, to make sure these levels really correspond to each other, and that the energy level agreement is not just accidental; for that we need to look at transfer reactions, and more B(E2)'s. This brings up the very important question of the transfer operator. The author hopes that its importance can be seen in recent cases where a few B(E2)'s for a few transfer strengths have substantially changed the correspondence between theoretical and experimental levels even though the overall energy level agreement is neither better or worse. So it's clearly sensitive to that question. Also cases have been seen now where several different supergroups have been applied to the same regions, U(6/4) and U(6/20) for example, to the mass 130 region, and so the question of the single-particle spaces and the single-particle energies is an important one. The question of microscopic understanding of the parameters and the interactions, these bose-fermi symmetries is important since it probes the underlying physical basis. And finally there have be some very interesting, what the author calls ''exotic'' extensions of bose-fermi symmetry ideas presented at this meeting. One is the extension to odd-odd nuclei, another is the generalized SUSY extension that can apply to transition regions, and this is the interesting beta decay calculations of Dobes that were reported yesterday, and probably some others the author has missed