Spectral properties in supersymmetric matrix models |
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Authors: | Lyonell Boulton Maria Pilar Garcia del Moral |
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Institution: | a Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom b Departamento de Física, Universidad de Oviedo, Avda Calvo Sotelo 18, 33007 Oviedo, Spain c Departamento de Física, Universidad Simón Bolívar, Apartado 89000, Caracas, Venezuela |
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Abstract: | We formulate a general sufficiency criterion for discreteness of the spectrum of both supersymmmetric and non-supersymmetric theories with a fermionic contribution. This criterion allows an analysis of Hamiltonians in complete form rather than just their semiclassical limits. In such a framework we examine spectral properties of various (1+0) matrix models. We consider the BMN model of M-theory compactified on a maximally supersymmetric pp-wave background, different regularizations of the supermembrane with central charges and 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 a continuous spectrum with a lower end given in terms of the monopole charge. |
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Keywords: | Supersymmetric matrix models BMN model Supermembrane with central charges Spectrum |
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