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Abstract: We formulate a general sufficiency criterion for discreteness of the spectrumof both supersymmmetric and non-su-persymmetric theories with a fermioniccontribution. This criterion allows an analysis of Hamiltonians in completeform rather than just their semiclassical limits. In such a framework weexamine spectral properties of various 1+0 matrix models. We consider the BMNmodel of M-theory compactified on a maximally supersymmetric pp-wavebackground, different regularizations of the supermembrane with central chargesand a non-supersymmetric model comprising a bound state of N D2 with m D0.While the first two examples have a purely discrete spectrum, the latter has acontinuous spectrum with a lower end given in terms of the monopole charge.



Autor: Lyonell Boulton, Maria Pilar Garcia del Moral, Alvaro Restuccia

Fuente: https://arxiv.org/







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