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.
| Original language | English |
|---|---|
| Pages (from-to) | 716-747 |
| Number of pages | 31 |
| Journal | Nuclear Physics B |
| Volume | 856 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 21 Mar 2012 |
Keywords
- Spectrum
- Supersymmetric matrix models
- BMN model
- Supermembrane with central charges
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Boulton, L., Garcia del Moral, M. P., & Restuccia, A. (2012). Spectral properties in supersymmetric matrix models. Nuclear Physics B, 856(3), 716-747. https://doi.org/10.1016/j.nuclphysb.2011.11.017